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Question

Solve : 31x + 23y = 39 And 23x + 31y = 15

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Solution

31x+23y=39 ----(1)
23x+31y=15-----(2)
Adding equation (1) and (2)
54x+54y=54
54(x+y)=54
x+y=1--------(3)
Subtracting (1) and (2)
8x-8y=24
8(x-y)=24
x-y=3-------(4)
Adding equation (3) and (4)
(x+y)+(x-y)=1+3
2x=4
x=2
Putting value in (3)------x+y=1
2+y=1
y=1-2
y= -1
Hence x=2 and y= -1

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