solve by elimination

2r-5s =-22
5r+2s = 32

2r - 5s = -22

5r + 2s = 32

Multiply 1st Eq by 5 and 2nd Eq by -2.

10r - 25s = -160
-10r -4s = -64
Add the 2 Eq

-29s = -174
5 = 6
Substitute 6 for s in original Eq
and solve rfor r.

2r - 5*6 = -22
2r = -22 + 30 = 8
r = 4.