Question

71x + 37y = 253
37x +71y =287
solve this equation ​

Answer 1

71x + 37y = 253...(1)

37x +71y =287...(2)

Add Equation (1) and (2)

Then

108x + 108y = 540

x + y = 5...(3)

Subtract Equation (2) from (1)

Then

34x - 34 y = 34

x - y = 1 ...(4)

from Equation (4)

x - y = 1

x = y + 1 ...(5)

put the value of x in equation (3)

x + y = 5

y + 1 + y = 5

2y + 1 = 5

2y = 5 -1

2y = 4

y = 4/2

y = 2

put the value of y in equation (5)

x = y + 1

x = 2 + 1

x = 3

Hence Solution (x,y) = (3,1)

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Answer 2

Continuing the Attachment..

We get equations

x + y = 5 ___(3)

and

x - y = 1 ___(4)

x = 1 + y

Put value of x in (3)

(1 + y) + y = 5

1 + y + y = 5

2y = 4

$\boxed{y \:= \:2}$

Put value of y in (4)

x - 2 = 1

x = 1 + 2

$\boxed{x \:=\: 3}$

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