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

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