Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

Answers

Answer 1

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

Answer 2
-5*9=-45
-45x+3*9y=-6*9
Equation1: -45x+27y=-54

Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5

Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7

9x-4*(-7)=1
9x=1-28
X=-3

(X, y)=(-3, -7)

Related Questions

MATH MATH MATH MATH MATH MATH

Answers

Answer: Y = 3/8

Step-by-step explanation:

You can either use the rise/run method or subtract 2 points from the line to get the slope. You can do the rise/run method by starting at a point that is on the corner of the square and keep counting how many spaces you have to go until you get to the next even point. This number will be on the bottom, then count up until you get to that even point,this amount of spaces this takes will be on top. Since there are only 2 visible points on this graph,I will use the other method. You can use either the y1-y2/x1-x2 formula or do this

8,3

0,0

8,3  
Remember,the y goes on top! Our slope is 3/8,also since the y intercept is the orgin/0,0 we don't need to add it at the end. I hope this helps and wasn't too complicated!

y =  3/8(x) is the equation that represents the proportional relationship in this graph, for y in terms of x.

What is proportional?

In mathematics, two sequences of numbers, frequently experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, known as the coefficient of proportionality or proportionality constant.

If corresponding elements in two sequences have a constant product—also known as the coefficient of proportionality—then the two sequences are inversely proportional.

This definition is frequently broadened to include associated varying amounts, also known as variables.

We can see that when y = 1.5, then x = 4

And when y = 3, x = 8

Putting the value in slope form

y - y1 = m(x - x1)

3 - 1.5 = m(8 - 4)

1.5 = m(4)

m = 1.5/4

m = 3/8

Now simply we put the value in y-intercept form

y - 3 = 3/8(x - 8)

y = 3/8(x) - 3 + 3

y =  3/8(x)

Learn more about proportional

https://brainly.com/question/7096655

#SPJ1

PLEASE HELLPPP!!!!!A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?

All the data lies below 80.
The median could be in the range 81 – 90.
The mean of the data will not be between 81 – 90.
The relative frequency of the class 81 – 90 is 0.

Answers

Answer:

The data would be differently split into ranges and the data and the class

Step-by-step explanation:

29 POINTS TO WHOEVER GETS THIS RIGHT ( NEEDS AN EQUATION AND ANSWER)

Ava bought snacks for her team's practice. She bought a bag of oranges for $2.71 and a 4-pack of juice bottles. The total cost before tax was $6.75. Write and solve an equation which can be used to determine jj, how much each bottle of juice cost.

Answers

Answer: Let j be the cost of each juice bottle.

The total cost of the juice bottles is 4j. The total cost of the oranges and juice bottles is $6.75.

Thus, the equation that represents the given information is: 4j + $2.71 = $6.75. Subtract $2.71 from both sides to get: 4j = $4.04. Divide both sides by 4 to get: j = $1.01.

Therefore, each juice bottle costs $1.01.

Step-by-step explanation:

Total cost = cost of a bag of oranges + cost of 4-pack juice bottles

$6.75=  $2.71 + (4 x jj)

$6.75 = $2.71 + 4jj

take similar terms: $6.75 - $2.71 = 4jj

Add similar terms: $4.04 = 4jj

Divide both sides of the equation by 4: jj =  $4.04 / 4=

jj = $1.01

Gerald is trying to gain muscle and needs
to consume more protein every day. If he has
a protein shake that contains 32 grams and
the entire shake is 340 grams, what
PERCENTAGE of the entire shake is protein?
What is the ratio between grams of protein
and grams of non-protein?

Answers

Answer: 32 grams of protein, 308 grams of isolate. Shake is 209.44%g of non-protein so answer is 8:85

     

Answer:

i agree with the guy above me

Step-by-step explanation:

Which table represents a linear function?

PLEASE HELP YALL THIS IS A DIAGNOSTIC FOR CHRIST'S SAKE

Answers

Answer:the last one (x,1,2,3, y,0,1,4,9)

Step-by-step explanation:

The answer is the one beside the orange one

Using the easy chili recipe below, what is the unit rate of beans per pound of hamburger? Round to the nearest hundredth if necessary.

Answers

let me see how many we working with

i would say about 69 beans per 420 pounds of hamburger.

Select all ratios equivalent to 16:12 A. 12:9 B. 4:24 C. 48:36

Answers

Answer:

A, B, and D

Step-by-step explanation:

there all equal to 1¯3

Answer:

A - 12:9 and C - 48:36 are your answers

Step-by-step explanation:

16:12 can be simplified to 4:3 (by diving both numbers by 4)

You can see that 12:9 and 48:36 also equal to 4:3 when fully simplified.

1. In a comparison taste test of two juice drinks, 780 people preferred

Cranberry Blast. Only 220 people preferred Melon Splash. Complete

each statement.

a. There were more people who preferred Cranberry Blast.

b. In the taste test, () of the people preferred Cranberry Blast.

c. People who preferred Cranberry Blast outnumbered those who

preferred Melon Splash by a ratio of () to ().


Students at a middle school are asked to record how they spend their

time from midnight on Friday to midnight on Sunday. Carlos records

his data on his phone. Use his phone sereen for Exercises 4-7.


Decide whether each statement is an accurate description of how

Carlos spent his time that weekend. Explain your reasoning. Please refer to the smartphone image. ()

————

Carlos spent one-sixth of his time watching television. ()

————

The ratio of hours spent watching television to hours spent doing

chores or homework was 3 to 1. ()

————

Sports, Internet, and watching television took about 33% of

his time. ()

————

Time spent doing homework was only 20% of the time spent

watching television. ()

————

Sleeping, eating, and "other" activities took up 12 hours more

than all other activities combined. ()

————

A class at Middlebury Middle School collected data on the types of

movies students prefer. Complete each statement using the table.

Types of Movies Preferred by Middlebury Students

Action- 75,90

Comedy-105,150

Total-180,240


The ratio of seventh-graders who prefer comedies to

eighth-graders who prefer comedies is () to ().


b. The fraction of total students (both seventh-and eighth-graders)

who prefer action movies is ().

C. The fraction of seventh-graders who prefer action movies is ()


The sketches betow show two members of the Grump family. The

Crumps are geometrically similar. Use the figures in exercises 33- 36.

Grump A- 0.8 in.

Grump B-1.2 in.

33. Write statements comparing the lengths of corresponding segments

in the Grumps. Use each concept at least once.

a. ratio

b. fraction

c. scale factor



Suppose a news story reports "A survey found that

of all Americans watched the Super Bowl on television." Bishnu thinks this means the survey reached seven people and four of them watched the Super Bowl on television. Do you agree with him? If not, what does the
Statement mean? ()

Answers

Answer:b) The percentage is found by dividing the concerned quantity by the total quantity and multiplying by 100.

780/(780+220) x 100

Percentage that preferred cranberry = 78%

c) Ratio of cranberry to melon:

cranberry / melon

= 780/220

= 39 : 11

Step-by-step explanation:

Answer: The correct answer to your question is the letter B.

Jeremy is practicing some tricks on his skateboard. One trick takes him forwards 5 feet, then he flips around and moves backwards 7.2 feet, and then he moves forward again 2.2 feet. a). What expression could be used to find how far Jeremy is from his starting position when he finishes the trick b). How far from his starting point is he when he finishes the trick? Explain.

Answers

Answer:

look below!

Step-by-step explanation:

a.) 5-7.2+2.2 is the expression

b.) he is at his starting position!

To avold a storm, a passenger-jet pilot descended 0.44mile in 0.8 minute. What was the plane's average change of altitude per minute?

Answers

Descends 0.55 miles per minute
Answer:
in order to find the answer you have to divide 0.44 by 0.8
when you divide decimals, the number that goes outside needs to be a whole number so it has to be 8
since you moved the decimal you also have to move the decimal from the inside. If you move the decimal it is going to be 4.4
so now you divide those numbers. 4.4/8

Hope this helps!
Step-by-step explanation:

Which expression represents the product of x3+2x-1 andx4-x3+3?

PLEASE HELPPPPPA

Answers

Step-by-step explanation:

3+2multiplied by x

=3+2×X

the answer is 3=2+x so yeah

A 3ft baby elephant standing next to a man casts a 7ft shadow, if the man casts a 14 foot shadow, how tall is he?

Answers

Answer:

6ft

Step-by-step explanation:

First you figure out 7/3 which is 2.3333333...

then do 14/2.33333333...

3ft length=7 shadow 7 goes perfectly into 14 2 times. So 3•2= 6ft The man is 6ft tall

I need the answers to all of them please :(

Answers

Answer:

2) 0.081

3) 0.741

4) 71.3

5) 0.0422

6) 79.9971

7) 0.00265

8)0.0935

Answer:

1 - 89.974

2 - 0.081

3 - 0.741

4 - 71.3

5 - 0.0422

6 - 79.9971

7 - 0.00265

8 - 0.0935

20 points to whoever gets this right <3 ( need a equation )

Nabhitha buys cookies and onions at the store.
She pays a total of $60.39.
She pays a total of $4.79 for the cookies.
She buys 8 bags of onions that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of onions costs.

Answers

Answer:

8x+4.79=60.39

Step-by-step explanation:

If you want this solved,

60.39-4.79 = 55.6

55.6/8 =6.95

One bag of onions = $6.95

(just for extra because I'm tired)

The answer is 8x + 4.79 = 60.39
Explanation

Simple figures review

Answers

Answer: B. 40 inches per cm.

Step-by-step explanation:

Step 1: Divide 60 inches by 5 cm, you get 12.

Step 2: Divide 200 inches by 12.

You get 40 inches per cm.

Your welcome!

Elle has just opened a boutique clothing shop. Because of the startup costs, for the next month her net earnings for an outfit is −$6.75. On Saturday during that month, she sold 7 outfits. What are Elle’s net earnings for Saturday?

PLEASE HELP ME

Answers

Answer:

$47.25

Step-by-step explanation:

Add $6.75 7 times

The answer isssss $47.25
Explanation:

Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?

Answers

Answer:

Step-by-step explanation:

3rd graph

12 Points!!!!
Please take your time and answer correctly, I do not want to get this wrong!!!

Answers

Refer to the attached image. Please mark brainliest if this helped. Comment any questions you may have, I will be glad to help :)

8 out of 32 students in the class do not have a pet at home. what percentage of students have pets?

Answers

25%

Hope this works <3

Answer:

25% of the kids do not have a pet at home

Step-by-step explanation:

Hope this helps!

giving brainliest for whoever has the most descriptive answer and reasoning for this question. (+five stars)

Answers

Answer:

All properties that were used to simplify the following problem:

1. commutative property of multiplication

2. multiplicative inverse 3. multiplicative identity

What is commutative property of addition?

The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.

The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.

For two numbers x and y, we have: x + y = y + x

Thus, if we take 3 numbers as a,b and c;

a + b + c = b + a + c = b + c + a = a + c + b = c + a + b = c + b + a

We have been given an expression;

2/7 • 53 • 7/2

53 • 2/7 • 7/2

53 • 1

53

Then all properties that were used to simplify the following problem:

1. commutative property of multiplication

2. multiplicative inverse

3. multiplicative identity

Learn more about properties of addition here:

brainly.com/question/1709448

#SPJ2

Answer:

b

Step-by-step explanation:

I think I remember how to do this I don’t know but yes it’s is b

The diagram shows the plan for a lawn. A landscaper needs to

buy grass seed to cover the lawn. One bag of grass seed covers

an area of 900 yd2. How many bags of seed does the landscaper

need to buy to cover the lawn? Show your work.

Answers

Answer:

10

Step-by-step explanation:

90-54=36

36*14=504

504*2=1008 squared

90*whatever the side length is

add 1008 to that answer but it is all squared

then divided your answer by 900, any leftovers, add it on as another bag.

Find the value of 15+2k when k=3.

Answers

Answer:

15+2k=21

Step-by-step explanation:

When k=3, we can replace k in the formula with (3), giving us

15+2(3) = 15+6 = 21

Answer:

21

Step-by-step explanation:

15 + 2k when k = 3

15 + 2(3)

15 + 6

21

a/5 divided by 3a/10
if a doesnt equal to 0

Answers

Answer = 2/3

Explanation
1. Keep a/5, change the division sign to a multiplication sign, flip 3a/10 to 10/3a

2. Cross simplify a/5 x 10/3a by crossing out the x’s as they cancel out. 10 and 5 cancel out by 5 leaving 2/3 as the answer.

Answer:

Step-by-step explanation:

format is if let variables a,b,c,d then, a/b is divided by c/d can be represented as (a*d)/(b*c) so, by this we have according to the question:

(a*10)/(5*3a) = 2/3

help please its for a grade

Answers

Answer:

B

Step-by-step explanation:

5/9

Answer:

0.555555........

Step-by-step explanation:

5 divided by 9 is 0.555555.......

Please help me w/ this question!

Answers

Sorry if I get it wrong

Answer:Jamie's brother:40, 50, 60

3x+2: 3×40+2, 3×50+2, 3×60+2

Jamie's tickets:122, 152, 182

Step-by-step explanation:Since it already has Jamie's brother's tickets, the rule is 3x+2 which you multiply 3×40+2. You get 122.

You do the same on the next one. 3×50+2. You get 152.

Then again you do the same on the last one. 3×60+2. You get 182

Again, sorry if i get it wrong

Do you need steps if you don’t the answer is 183

Sam spends $125 to buy 6 pairs of shoes. What is the cost per pair of shoes? Round to the nearest hundredth if necessary.

Answers

20.83 should be correct
The answer is 20.83

Help..??






















20 points=super nice reply= good rating=brainly :>

Answers

Answer:

B. y = 5x

Step-by-step explanation:

there are 2 coordinates (0,0) and (3,15)

slope m = (y2-y1)/(x2-x1)

m = (15 - 0)/(3 - 0) = 15/3 = 5

Using y = 0, x = 0, m - 5

y = mx + b

0 = 5(0) + b

b = 0

=> y = 5x

The answer to your problem is b

Jill and Beth are sisters. Jill is 1⁄3 of Beth’s age. Let b represent Beth's age. Write an algebraic expression to show Jill’s age.

You eat c candy bars at the movies. Your friend eats two candy bars fewer than you eat. Write an expression that describes the number of candy bars your friend eats.

The number of coffee shops on Main Street is four less than three times the number of coffee shops, on 3rd Avenue. Which expression can be used to determine the number of coffee shops on Main Street?

Arlin ran a certain number of miles, m. Liam ran 4 times the sum of m and 5. Write 2 equivalent expressions to show how many miles Liam ran.

Answers

J = 1/3B

F = C-2

M = 3A -4

L = 4(m+5)

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 8.7 inches and the length of each side is 10 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.

Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? Show every step of your work. (5 points)

Part C: Using your answers above, determine the area of the table's surface. Show every step of your work. (3 points)
Please answer Part A, Part B, And Part C! Will give brainliest

Answers

Answer:I believe the answer is Part B:What would be the area of each triangle? Show every step of your work.

Please help! ASAP
i will mark brainliest!

Answers

Answer: Reduction.

Step-by-step explanation: Any shape that is dilated by less than 1 is a reduction, but any shape that is dilated by 2, 3, etc is an enlargement. 11/12 is barely a whole number, so it is a reduction.

Have a great day! :)

Reduction im pretty sure love
Other Questions
The sum of the measures of the interior angles of a convex polygon is 1260. Classify the polygon by the number ofsides.O HeptagonO OctagonONonagonO Decagon . Find sin D , sin E , cos D , and cos E . Write each answer as a fraction in simplest form. How to calculate monthly payments with interest? Where is the irony in this story what kind of irony is it the veldt? whats the answer??its math related male violence is more likely to occur in ________ societies. to promote conforratyHow does paragraph 4 contribute to the development of the text? Describe an implementation of the PositionalList methods add_last and add_before realized by using only methods in the set {is empty, first, last, prev, next, add after, and add first}.provide output with driver code. 6. Understanding of the cell has changed overtime. Which explains why this has occurred? A New scientific discoveries lead to new theories.B Theories are redesigned every ten years as a necessity.C The constantly evolving universe requires new theories to describe it.D Larger number of scientists have opinions that must be incorporated. Please help me with biology worksI need this ASAP Why did the US enter ww2 after Pearl Harbor? A country has the following population statistics: crude birth rate = 12% crude death rate = 8% immigration = 2.8% emigration = 0.5% What is the growth rate of the population in this country? A. 6.3B. -0.7 C. 1.5 D. 1.6 2) Jenny has a water tank that needs to befilled up. The water tank can hold 500 gallonsof water. She adds 20 gallons of water everyhour. How many hours does it take for Jennyto be able to fill up the tank? What is the volume of the rectangular prism? Which of the following is NOT a factor in the quality of digital video? a.- frame rate and resolution c. compression technique b. memory technology in your camera de color and bit depth How many 1/3 ounce cups can be taken How is rotation and dilation similar? Why did President Franklin Delano Roosevelts Lend-Lease program with the Allies have strong opposition from isolationists? A. It shifted foreign policy away from neutrality. B. In assured the President another term in office. C. It shifted attention away from the bad economy. D. It ignored the Supreme Courts most recent ruling Which quality in society does Gothic literature expose?O A. isolation, which causes fear .compassion for othersO C.trust in authorityrespect for parental figuresOD. The United Nations has never focused on the international rights of consumerTrue or false