You can put this solution on YOUR website! Solve by the elimination method.
2r-7s=-23
7r+2s=52
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Eliminate s.
Multiply the 1st eqn by 2 and the 2nd eqn by 7 to make the coefficients 14.
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4r - 14s = -46
49r+ 14s = 364
----------------- add
53r = 318
r = 6
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Sub for r in either eqn and find s.
7r+2s=52
42 + 2s = 52
2s = 10
s = 5
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Nothing to it. You need to learn how to do this.