<PRE><B>Question 553482</B>
2r - 5s = -14......(1) 
5r + 2s = 52.......(2)
Multiply (1) by 5 and (2) by 2
10r-25s=-70.....(3)
10r+4s=104.......(4)
Subtract (4) from (3)
10r-25s=-70
-10r-4s=-104
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-29s=-174
-29s/-29=-174/-29
s=6
Put the value of s in (1)
2r - 5s = -14......(1) 
2r - 5(6) = -14
2r - 30 = -14
2r=-14+30
2r=16
2r/2=16/2
r=8

Solution Set
(r,s)=(8,6)





Check
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Put the value of r and s in (2)
5r + 2s = 52.......(2)
5(8) + 2(6) = 52
40+12=58
52=52 


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