Solve by eliminatin method.

2r-5s= -11
5r+2s= 16

2r-5s= -11 times 5 is 10r-25s= -55

5r+2s= +16 times 2 is 10r+ 4s= +32
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**********subtract*****0r -29s=-87
s = 87/29

2r -5(87/29) = -11
2 r - 435/29 = -11
2 r = (-319+435)/29
2 r = 116/29
r = 58/29