2) Use the elimination method to solve for x and y.

equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9

solve for y _____
solve for x _____

Answers

Answer 1

Answer:

1: 2x + y = 24

2: x - 3y = 54

Step-by-step explanation:

Answer 2

Answer:

[tex] y = - 3. \\ x = - 13.5[/tex]

Step-by-step explanation:

[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\

equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5

[/tex]


Related Questions

Help ASAP
Write the fraction [tex]\frac{45}{81}[/tex] in simplest form.

Answers

The simplest form of 45/81 is 5/9

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{45}{81}[/tex] ( divide numerator and denominator by HCF of 9 )

= [tex]\frac{5}{9}[/tex] ← in simplest form

Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?

Answers

Answer:

3

Step-by-step explanation:

because 3 times 5 is 15 - 12 is 3

Two fair dice are thrown and the scores added together. Above is the table that needs to be completed.
a. i) What is the least possible score?
ii) How many times does it occur?
b. What is i) the maximum possible score
ii) the probability of getting this?
c. What score appears most frequently in the table?
d. What is the probability for this score?
e. What is the probability of scoring an odd number?

Answers

Answer:

sorry I can't answer because I don't know what you telling

please mark as brainlist answer

Factorise x²+4x-525
Factorise it plz

Answers

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

=x²-21x+25x-525

=x(x-21)+25(x-21)

=(x+25)(x-21)

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

multiply to get -525

add to get 4

x²+4x-525

(x²+21x)(+25x-525)

factorise:

x²+21x

x(x-21)

25x-525

25(x-21)

(x+25)(x-21)

A camera is marked down from $36 to $27. What is the percent of the markdown

Answers

Answer:

75%

Step-by-step explanation:

You have to put 27/36 and multiply 27/36 by 100/1 and then you get 2700/36 and divide it and you get 75 so that is how you get 75%


PLEASE HELP Identify the slope (m)and y-intercept (b) of the linear function graphed below. Then, construct the linear equation for

Answers

Answer:

look at image attached :)

answer first get brainliest!!
Rahul is wrapping a gift that has the dimensions shown. What is the least amount of wrapping paper he will need?


pls answer fast 5 pts!!! ill choose brainliest first!!

Answers

Answer:

24

Step-by-step explanation:

edge 2021

tep-by-step solution Step 1 of 4 The objective is to find the least amount of wrapping paper you need. Chapter 11, Problem 65RE is solved. View this answer View a sample solution Step 2 of 4 Step 3 of 4 Step 4 of 4 Back to top Corresponding textbook Mathematical Practices, Mathematics for Teachers | 1st Edition

Help needed immediately. :( this is my my third time posting and no one is helping

Answers

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5

Answers

It’s f+3 that your anser

10 Convert 485 mL into litres.
© 0.485 L
D 485 000 L
B 4.85 L
A 48.5 L​

Answers

Answer:

c

Step-by-step explanation:

The circumference of a circle is 10 inches. What is its area in square inches?

Answers

Answer:

7.96 square inches.

Step-by-step explanation:

Area of a circle given a circumference is given by formula:

[tex]A = \frac{C^{2}}{4\pi}[/tex]

So substituting into equation we have: [tex]C= 10[/tex].

Therefore [tex]A = 10^{2}/4\pi = 100/4\pi=25/\pi =7.96[/tex] square inches.

The area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The circumference of a circle is 10 inches.

As we know the circumference of a circle is given by:

C = 2πr

C is the circumference of the circle.

r is the radius of the circle.

10 = 2πr

r = 5/π inches

As we know,

The area of the circle is given by:

A = πr²

Here, A represents the area of the circle.

Plug the value of the radius r in the above formula:

A = π(5/π)²

A = 25/π square inches

Take π = 3.14

A = 25/3.14

A = 7.96 sqaure inches

Thus, the area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

BRAINILEST IF ANSWEED QUICKLY AND CORRECT
(05.01)Which statement best describes the area of the triangle shown below?

A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.

It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a square of side length 4 units.

Answers

The answer is B. It is one-half the area of a square of side length 4 units.

What is the slope of the line described by the equation below?
y=-6x + 3
O A. 3
O B. -3
O c. 6
O D. -6

Answers

Answer:

-6

Step-by-step explanation:

y=-6x + 3

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is -6 and the y intercept is 3

The answer is D.) -6

There are 28 tables in the cafeteria. Each table has 12 students sitting at it. Fourth graders sit at 13 of the tables. Fifth graders sit at the rest of the tables.

How many fifth graders are there?

Answers

Answer:

180 students

Step-by-step explanation:

28 -13 = 15

15 tables times 12 students

Answer: 180 fifth grader

Step-by-step explanation:

Any help and this please ??

Answers

Domain is y=2 and range is 4 I think

Can you pls help me with this question pls

Answers

Answer:

This is it ranked from least to greatest. 3/10 being the least

3/10

5/9

45/90

3. Diego made the shape on the left, and Elena made the shape on the right. Each shape
uses 5 circles
Select all the true statements.
A. The smallest circle in Diego's design is congruent to the smallest circle in Elena's
design.
B. Diego's design is congruent to Elena's design
C. Elena's design is a translation of Diego's design

Answers

The two circle designs are missing, so i have attached it.

Answer:

Options A & B are true.

Step-by-step explanation:

Congruent circles are basically identical. This means that they have the same radius and diameter but different centres.

Now, from the attached image, we see that the smallest circle in diogo's design has diameter of 2 units & radius of 1 unit while the one in Elena's design also has exactly the same measurement. Thus, we can conclude the smallest circle in diogo's design which is the first one is congruent to the smallest circle in the second design for Elena.

So option A is correct.

Looking carefully at both designs, we can observe that one is concentric while the other is eccentric. However, all the similar sized circles have the same radius & diameter. Thus, we can still say that both designs are congruent. So option B is correct.

In transformations, a translation is when all the points in a an object are made to move up or down in a state straight line in that same direction. However, the objects shape and size remains the exactly the same.

In this case, it's not so because the circle changed from concentric circles to eccentric circles. So this option C is not correct.

[tex]\sqrt{8} + \sqrt{2}[/tex]

Answers

√8 + √2

2√2 + 1√2

3√2

I hope this helps

24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?

Answers

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same

who loves beetle juice

Answers

Answer:

i literally just finished watching it lol

Answer:i do becuase it is a funny movie :))

Step-by-step explanation:

6x+1/2(12x-8)=3x-31 what is the answer?

Answers

Answer:

x=−3

Step-by-step explanation?

i did the math

Question 5
At a soccer tournament, 240 water bottles were sold during the first day. During the second day, the number of water bottles sold was 156. What was the percentage of decrease?
Your answer:

Answers

Answer:

i think it 180

Step-by-step explanation:

I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)

Answers

Answer:

1.5 weeks

Step-by-step explanation:

Given

[tex]Earnings = 770.98[/tex] weekly

[tex]Amount\ Left = 385.49[/tex]

[tex]Game\ Cost = 1541.72[/tex]

Required

Determine the time taken to save up

Represent the time with t

The relationship between the given parameters can be expressed as:

Amount + Earnings in t weeks = Game Cost

This gives:

[tex]385.49 + 770.98t = 1541.72[/tex]

Collect Like Terms

[tex]770.98t = 1541.72 - 385.49[/tex]

[tex]770.98t = 1156.23[/tex]

Solve for t

[tex]t = 1156.23/770.98[/tex]

[tex]t = 1.49968870788[/tex]

[tex]t = 1.5[/tex] Approximated

Which of the following is the best example of a system of equations that should be solved by the elimination method?


Question 2 options:


8x + 3y = 2


5x + 8y = -11



2x - 4y = -16


y = 5x + 13



-8x - 9y = -17


16x - 4y = 12



12x + 7y = -17


9x + 11y = -7

Answers

Answer:the answer -8x-9y=-17

16x-4y=12

Step-by-step explanation:

divide 16x-4y=12 with 2

8x-2y=12

Then add the equations

-8x-9y=-17

8x-2y=12

0-11y=-23

You can’t do this with the other equations provided.

3(8 - 7) = 2(10 + 8)

Answers

Answer:

3(8-7)=2(10+8)

3(1)=2(18)

3= 36

I don't know what your instructions say but this is false. 3 is not equal to 36.

1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?



2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?



3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?



4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?



5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?



6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?



7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?



8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?



9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?

Answers

Answer:

1.6

2.12

3.18

4.7.92

5.40

6.20

7.18

8.8

9.14

hope this helps

please mark as brainliest!!!

Step-by-step explanation:

Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?​

Answers

780miles/12 hours equals 65 miles per 1 hour. if you are going at the same rate, you multiply 65 miles times 5 hours to get 325 miles. he drove 325 miles in 5 hours

Approximate which two integers √210 is between.

Answers

Answer:

14 and 15

Step-by-step explanation:

14 - 196

15- 225

Identify the angles that each have a measure of 124º.

Answers

Answer:

Angle 1, angle 3 and angle 7 will be the equal angles.

Step-by-step explanation:

In the figure attached,

Two lines are parallel and a transversal line is intersecting these parallel lines.

Congruent angles to the angle measuring 124° will be,

m(∠7) = 124° [Vertical angles]

m(∠1) = 124° [Corresponding angles]

m(∠3) = 124° [Alternate interior angles]

Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.

What is the slope of a line perpendicular to y=3/2x+5

Answers

Answer:

To find a slope perpendicular to another line, you need to change the sign and flip the fraction.

Your answer:

m = -2/3

Answer:

3/2 i'm pretty sure

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