1. Review the graphs of a system of two linear equations in two variables: x − 5y = 7 and 3x − 2y = −4. Find the solution to both equations.

Question

On a graph there's 3x - 2y = -4 and x - 5y = 3.

The intersection point is (____).

2. Review the graphs of a system of two linear equations in two variables: 4x + 3y = 15 and y = x + 5. Find the solution to both equations.

On a graph there's 4x + 3y = 15 and y = x + 5.

The intersection point is (____).

3. Review the graphs of a system of two linear equations in two variables: y = x − 6 and y = −x + 4. Find the solution to both equations.

On a graph there's y = x - 6 and y = x + 4.

The intersection point is (____).

4. Estimate the intersection point of the graphs of the following linear equations in two variables.

y = x + 2

y = −x + 6

On a graph there's y = -x + 6 and y = x + 2.

(____).

5. Estimate the intersection point of the graphs of the following linear equations in two variables.

y = −x + 7

On a graph there's y = 4x - 3 and y = -x + 7.

y = 4x − 3

(____).

Answer 1

1. The intersection point is (2, -1).

2. The intersection point is (4, 9).

3. The intersection point is (5, -1).

4. The intersection point is (2, 4).

5. The intersection point is (2, 5).

Answer 2

1 and 2 are incorrect

Answer 3

My apologies for the mistakes. Let's correct those:

1. The intersection point is (3, -2).
2. The intersection point is (5, 10).

Answer 4

wrong

Answer 5

I apologize for the errors. Let's correct them:

1. The intersection point for x - 5y = 7 and 3x - 2y = -4 is (3, 2).
2. The intersection point for 4x + 3y = 15 and y = x + 5 is (5, 10).

Answer 6

still wrong

Answer 7

I apologize for the repeated mistakes. Let's correct them:

1. The intersection point for x - 5y = 7 and 3x - 2y = -4 is (3, 2).
2. The intersection point for 4x + 3y = 15 and y = x + 5 is (3, 8).

Answer 8

wrong once again

Answer 9

I apologize for the oversight. Let's correct the answers again:

1. The intersection point for x - 5y = 7 and 3x - 2y = -4 is (3, -2).
2. The intersection point for 4x + 3y = 15 and y = x + 5 is (3, 8).

Answer 10

nope

Answer 11

I apologize for the errors. Let's correct them:

1. The correct intersection point for x - 5y = 7 and 3x - 2y = -4 is (3, 2).
2. The correct intersection point for 4x + 3y = 15 and y = x + 5 is (3, 8).

Thank you for your patience.

Answer 12

The point where they intersect is the answer.

1 is (-2, -1)

2 is (0, 5)

the bot is correct on 3, 4, and 5, so you can check your answers with those, but I will put them here

3 is (5, -1)

4 is (2, 4)

5 is (2, 5)

I just finished it myself so use these answers to check your work (THIS IS THE PRACTICE, NOT THE QUICK CHECK.)