### Home > AC > Chapter 7 > Lesson 7.1.4 > Problem 7-38

7-38.

Find the point of intersection for each system of linear equations below. Be sure to check your solutions. Which method did you use for each system and why? Homework Help ✎

5

*x*−*y*= 2

3*x*+*y*= −106

*x*+ 2*y*= 7

4*x*+*y*= 45

*x*+ 2*y*= 7

2*y*+ 5*x*= 7

Use the Elimination Method.

Add the equations together vertically.

The result is: 8*x* = −8

Solve for *x* by dividing the equation by 8. *x* = −1

Substitute *x* into one of the original equations to find *y*. 5(−1) − *y* = 2

Solve for *y*.

*y* = −7

(−1, −7)

Use the Elimination Method.

Multiply the 2nd equation by −2

Follow the steps outlined in part (a).

Try rewriting the 2nd equation. What do you notice?