Question

71x
$71x + 37y = 253 \\ 37x + 71y = 287$
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Answer 1

ANSWER:

Adding both equations  

  71x+37y=253----------equation 1

+  37x+71y=287--------equation 2

   108x+108y=540

Dividing whole equation by 108

x + y = 5-------equation 3

Subtracting equation 1 from 2

   71x+37y 253

-   37x+71y=287

   -      -       -

34x-34y=-34

Dividing whole equation by 34

x - y = -1----------equation 4

Adding equation 3 and 4

x + y = 5

x - y = -1

2x = 4

x =4/2

x = 2

Substituting x = 2 in equation 3

x + y =5

2 + y = 5

y = 5 - 2

y = 3