SOLUTION: I have been working on a problem using the elimination method. I think I have it right but would someone tell me if it is and if not what I have done wrong. The problem is 5r - 2s

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Question 221071: I have been working on a problem using the elimination method. I think I have it right but would someone tell me if it is and if not what I have done wrong. The problem is 5r - 2s = 8
2r + 5s = 38
I do not think there is a solution.
Found 2 solutions by scott8148, stanbon:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying 1st eqn by 5 ___ 25r - 10s = 40

multiplying 2nd eqn by 2 ___ 4r + 10s = 76

adding new eqns (this eliminates the s terms) ___ 29r = 116 ___ r = 4

substituting ___ 2(4) + 5s = 38 ___ 5s = 30 ___ s = 6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.