I need help!

Solve by the elimination method:
7r-9s=-12
9r+7s=96

When I do this, I get a crazy fraction, and I know the answer is a point. (r,s) But what I'm getting is ridiculous. I got -564/130=s! That has to be totally wrong!

Multiply first equation by 7.

49r - 63s = 84

Multiply second equation by 9.

81r + 63s = 864

Subtract first equation from second.

32r = 780

r = 780/ 32 = 24 3/8

Put value in either equation to solve for s.

7(780/32) - 9s = 12

5460/32 - 9s = 12

-9s = 12 - 5460/32 = (384-5460)/32 = -5076/32

Divide both sides by -9.

s = 5076/(32 * 9) = 5076/288 = 17 5/8

I hope this helps.