Question 221071
The problem is 
5r - 2s = 8
2r + 5s = 38
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Multiply thru the 1st by 2 
Multiply thru the 2nd by 5
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10r - 4s = 16
10r + 25s = 190
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Subtract the 1st Eq. from the 2nd Eq and solve for "s":
29s = 174
s = 6
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substitute into 5r-2s=8 to solve for "r":
5r -2*6 = 8
5r = 20
r = 4
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Solution: (4,6)
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Cheers,
Stan H.