Question

Solve the system of equations 2r + 2s = 50 and 2r – s = 17.

Answer 1

Eq1) 2r+2s=50
eq2) 2r-s=17

solve for s in equation2 (eq2)

-s=17-2r
s=-17+2r
Substitute s into equation1 (eq1)
2r+2(-17+2r)=50
2r-34+4r=50
6r-34=50
6r=50+34
6r=84
r=14
Substitute into either equation and solve for s
2(14)-s=17
28-s=17
-s=17-28
-s=-11
s=11