Home > CAAC > 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 ✎
5x − y = 2
3x + y = −106x + 2y = 7
4x + y = 45x + 2y = 7
2y + 5x = 7
Use the Elimination Method.
Add the equations together vertically.
The result is: 8x = −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?