# 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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 Click here to see ALL problems on Travel Word Problems 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)   (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(57387)   (Show Source): You can put this solution on YOUR website!The problem is 5r - 2s = 8 2r + 5s = 38 ----------------------------- Multiply thru the 1st by 2 Multiply thru the 2nd by 5 ----------------------------- 10r - 4s = 16 10r + 25s = 190 ---------------------- Subtract the 1st Eq. from the 2nd Eq and solve for "s": 29s = 174 s = 6 -------------- substitute into 5r-2s=8 to solve for "r": 5r -2*6 = 8 5r = 20 r = 4 -------------- Solution: (4,6) ======================= Cheers, Stan H.