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2r + 2s = 50

2r - s = 17 therefore 4r - 2s = 34

Add so that you can eliminate one of the variables:

2r + 2s = 50

4r - 2s = 34

----------------

6r + 0s = 84

Solve for r:

6r = 84

r = 14

Substitute r into one of the original equations:

2(14) + 2s = 50

28 + 2s = 50

2s = 22

s = 11

Doublecheck with the other original equation:

2(14) - 11 = 28 - 11 = 17

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Q: 2r plus 2s equals 50 and 2r minus s equals 17?
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