### Home > CAAC > Chapter 4 > Lesson 4.2.4 > Problem 4-97

4-97.

Determine the coordinates of each point of intersection without graphing. Homework Help ✎

*y*= −*x*+ 8*y*=*x*− 2*y*= −3*x**y*= −4*x*+ 2

Use the Equal Values Method.

Substitute your answer for *x* back into one of the original equations to find *y*.

(5, 3)

*y* = *y*

−*x* + 8 = *x* − 2

−*x* + 8 = *x* − 2

+2 +2

−*x* + 10 = *x*

+*x* +*x*

10 = 2*x*

5 = *x*

*y* = −*x* + 8*y* = −(5) + 8*y* = 3

Follow the steps outlined in part (a).

(2, −6)