Juan solved the system of linear equations
8x - 3y = -1
and
-5x+2y = 1

a. First, he multiplied the equation
8x - 3y = -1
by 2 to get

b. Next, he multiplied the equation
-5x+2y = 1
by 3 to get

c. Then he added the two resulting equations together to get

d. Finally, he substituted the result into one of the original equations and solved

Answers

Answer 1

Answer:

x =1

y = 3

Step-by-step explanation:

8x - 3y = -1 ------ * 2   part (a)

-5x +2y =1 ------ * 3   part (b)

16x -6y = -2  part (c)

-15x +6y = 3        

x = 1

8(1) - 3y = -1   part (d)

8-3y =-1

-3y = -9

y =3


Related Questions

An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?

Answers

The decimal is less than 1 and greater than 0. The percent is less than 100% and greater than 0%

Answer:

D

Step-by-step explanation:

"The percent is greater than 0 and less than 100, and the decimal is between 0 and 1."

at what ordered pair do the lines x=-2 and y=5 intersect?

Answers

Answer: (-2, 5)

Step-by-step explanation:

The line x = -2 is simply a vertical line with an x-intercept of -2.

The line y = 5 is simply a horizontal line with a y-intercept of 5.

For the equation
y + 2 = 6(x - 5),
the line has a slope of 6 and contains what point?

Answers

Answer:

(5, -2)

Step-by-step explanation:

1. The equation "y + 2 = 6(x - 5)" is in the form of point-slope. Point slope form is [tex]y-y_1=m(x-x_1)[/tex] where y_1 = y-coordinate of point, m = slope, and x_1 = x-coordinate of point.

2. Given the information above, the point (5, -2) and slope of 6 makes the equation y + 2 = 6(x - 5) because:

[tex]y - y_1 = m(x-x_1)[/tex] [tex]y - (-2) = 6(x-5)[/tex] [tex]y + 2=6x-5[/tex]

Therefore, the point is (5,-2).

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen,
playroom, and dining room are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189
square feet. What is the area of each room?

Answers

area of kitchen: 4x = 4(21) = 84 ft^2
area of playroom: 3x = 3(21) = 63 ft^2
area of dining room: 2x = 2(21) = 42 ft^2

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Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3, 5, 6

someone please help!!​

Answers

i’m pretty sure both are not proportional as there isn’t just one constant value to multiply x with.

Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(-2)

PLEASEEEEEEE HELP OR ELSE I WILL DIE

Answers

Answer:

Step-by-step explanation:

g(-2) = -2 - 3 = -5

f(-5)= 2(-5) + 7 = -10 + 7 = -3

What is the slope of the line that passes through
the points (1, -3) and (4. 2)?

A. 5/3
B. 3/5
C. -3/5
D. -5/3

Answers

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{2+3}{4-1} \\\frac{5}{3}[/tex]

So the slope is 5/3

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

PLEASE HELP IF YOU CAN ASAP PLEASE THIS IS ALGEBRA
1. What is the domain of the following points? (picture will be added
a) {-7, 3, 7} b) {-3, 3, 7} c) {-7, -3, 3, 7} d) {3,7}

2. What is the slope of the line through the points (-2, -1) and (4, 3)?
a) ⅖ b) 3/2 c) 5/2 d) ⅔

Answers

Answer:

1. (I need the picture for this one)

2. m=2/3 / Slope = 2/3

Step-by-step explanation:

I can’t help you with questions 1 because there is no picture. For question two, this is how you would find the slope given a line with 2 points:

Solving Steps: Reasoning:
1.) m=(y2-y1)/(x2-x1) [Slope Formula]
2.) m=(x1=-2, y1=-1) (x2=4, y2=3) [Assign Value to ordered pairs]
3.) m=(3-(-1))/(4-(-2)) [Substitution P.O.E.]
4.) m=(3+1)/(4+2) [Negative minus negative = positive]
5.) m=4/6 [Addition]
6.) m=2/3 [Simplification]

Therefore, the slope (m) = 2/3. To find the Domain, you will need to list all the X-coordinates from your ordered pairs. To find the range, you will need to list all the Y-coordinates from your ordered pairs.
You can use these formula:
Domain={x1, x2, x3, x4, x5…}
Range={y1, y2, y3, y4, y5…}
You just have to input your values into these formulas. An ordered pair looks like this: (5, 4). The left value is the x-coordinate (5), and the right value is the y-coordinate (4).


Please mark Brainliest!!!

what is 4 7/9 as improper fraction

Answers

Answer:

43/9

Step-by-step explanation:

4 • 9 = 36

36 + 7 = 43

Keep the original denominator

43/9 because you multiply 9 and 4 then add 7

(2+a+b)²

Include how you solved the problem ​

Answers

Answer:

=[tex]4+a^{2} +b^{2}[/tex]

Step-by-step explanation:

=[tex]2^{2} +a^{2} +b^{2}[/tex]

=[tex]4+a^{2} +b^{2}[/tex]

Find the value of x from the figure given below:

Answers

Answer:

[tex]sinB = \frac{x}{34}=\frac{5}{17} => \frac{x}{34}=\frac{5}{17}\\\\<=> x= \frac{5}{17}.34 =10[/tex]

Step-by-step explanation:

A piece of wood is 12 feet long, and a nail is 3 inches long. The piece of wood is how many times as long as the nail?

Answers

Answer:

the piece of wood is 48 times as long as the nail.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you take the length of the wood and divide it by the length of the nail, so 12 divided by 3 well you can also skip-count until you reach 12, regardless you get 4

A pet store has 15 dogs and 6 cats, which is a ratio of _____?

Answers

Answer:

5:2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

15:6 or 5:2

Step-by-step explanation:

The number of dogs and cats can be simplified by dividing the two values by 3.

Select all polynomial expressions that are equivalent to 6X^4 + 4X^3 - 7X^2 + 5X +8.

A. 16x^10
B. 6X^5+ 4X^4 - 7X^3+ 5X^28.
C. 6X^4 + 4X^3 - 7X. ^2 + 5X +8.
D. 8 + 5X 7x^2 _ 4x^3 + 6x^4
E. 8 + 5X - 7x^2 + 4x^3 + 6x^4

Answers

The answer is b, c and e

what are the steps for using a compass and straightedge ​

Answers

Answer:

Step-by-step explanation:

ESTA   GOOGEL N

A home goods store sells 385 lamps in the month of July. If it sells 200 more
lamps in the next month, how many lamps does it sell in August?

Answers

Answer:

585

Step-by-step explanation:

We knew that the store sold 385 lamps in month of July. 200 more lamps were sold the next month which is August. Thus by addition, 585 lamps were sold in August.

What is addition?

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Lamps sold in July = 385

Given: 200 more lamps were sold in next month i.e., August.

Lamps sold in August = 385 + 200 = 585

Learn more about addition here

https://brainly.com/question/14092461

#SPJ2

Question 9 Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working. (8 marks)​

Answers

Answer:

Step-by-step explanation:

working backwards

the five minute walk

10:30 - 0:05 = 10:25

train ride to Birmingham

10:25 - 1:10 = 9:15

Next earliest train departure time

9:05

Getting to Euston Station

9:05 - 1:00 = 8:05 am

Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.

The train schedule already allows an additional 10 minutes of buffer time after boarding.

Can someone help me with this

Answers

Answer:

The answer is 39.2

Step-by-step explanation:

The first thing you want to do is multiply both numbers by them selves like this: 9x8 and 4x8. Then after you do that, add the sum of those equations and you have your answer. Think about it like this, for 8x4, all it is is just 8+8+8+8. If solving it that way is easier for you, go for it! Hope I could help!

The answer is 32.9

You could have used a calculator

Divide 54 in to two parts so that four times the greater equals five times the less​

Answers

Answer:

Let the both the parts be 'x' and 'y'

x>y

We know that 4x = 5y

so x = 5y/4

x + y = 54

Replacing x we get

(5y/4) + y = 54

(5y +4y)/4 = 54

9y = 216

y = 24

Replacing y in ' x+y = 54'

we get x = 30

Step-by-step explanation:

Hence the larger part is 30 whereas the smaller part is 24

1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?

Answers

Step-by-step explanation:

[tex] \frac{85}{100} \times 15[/tex]

=12.75≈13

Graph the equation. y=−1/2​(x−3)(x−7)

Answers

Answer:

x y

3 0

4 3

2 5

2 6

3 2

7 0

Step-by-step explanation:

6. Write an algebraic expression.
The quotient of 34 and the product of a
number and -9

Answers

Answer:

34÷x-9

Step-by-step explanation:

34 divided by a number(x) times -9

? : 11 = 1/3 : 6
I need help

Answers

Answer:

11/18

Step-by-step explanation:

let n represent the number to be found

simplify the ratio on the right by multiplying both parts by 3

we now have

n/11 =11/18  ( cross-multiply )

18n = 11 ( divide both sides by 18 )

n = 11/18

3)Calcular la distancia entre los puntos A = (2,1) y B =(-3,2)

Answers

Answer:

Step-by-step explanation:

You use the distance formula

d = √ (x1-x2) ² + (y1- y2) ²

d = √ (2 - (-3)) ² + (1 - 2) ²

d = √ (25 + 1)

d = √26

d = 5.2

What is the equation of a line perpendicular to y= -3x+4 that passes through (-1, 6)

Answers

Have a good day sir!!!
Perpendicular lines have negative reciprocal slopes, in which the product of the slopes of both lines = -1.

Given the linear equation, y = -3x + 4 and the point, (-1, 6):

We can assume that the slope of the other line must be 1/3, because if you multiply 1/3 by -3, the product will be -1.

Substitute the values if the given point, (-1, 6) and the slope of the other line, m = 1/3 into the slope-intercept form to solve for the y-intercept (b) of the other line:

y = mx + b
6 = 1/3(-1) + b
6 = -1/3 + b

Add 1/3 to both sides
6 + 1/3 = -1/3 + 1/3 + b
19/3 = b

Therefore, given the slope of 1/3 and the y-intercept, b = 19/3, the equation of the other line is:

y = 1/3x + 19/3


Attached is a screenshot of the graph of both equations, proving that both lines are perpendicular from each other, and that y = 1/3x + 19/3 passes through point (-1, 6).

Please mark my answers as the Brainliest if you find this helpful :)

simplify 8x+10x-5y+3+9y

Answers

Answer:

18x + 4y + 3

Step-by-step explanation:

8x + 10x - 5y + 3 + 9y(8x + 10x) + (-5y + 9y) + (3)18x + 4y + 3

Therefore, the answer is 18x + 4y + 3.

Answer:

[tex]18x+4y+3[/tex]

Step-by-step explanation:

Add the like terms.

[tex]8x+10x=18x[/tex]

[tex]-5y+9y=4y[/tex]

⇒ [tex]18x + 4y+3[/tex]

Thus, the answer is [tex]18x + 4y + 3[/tex]

Which statement is most accurate?

Answers

The last one is the answer

In 9 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can move 1,000 bushels to the storage bin in 13 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?

Answers

Answer:

In 117min. there will be 9,000 bushels in a storage bin.

Step-by-step explanation:

LCM of 13 and 9 is 117, then add from there.

Maths Question here.

Please answer - for homework

10 points available.

Answers

Answer:

a)first 3 terms =5, 8,11

b) 10th term is 32

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