Question

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Answer 1

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Answer 2

Adding both the equations
43x + 67y = -24
67x + 43y = 24
___________
110x + 110y = 0
110(x + y) = 0
x + y = 0 ......(1)

Subtracting both the equations
43x + 67y = -24
67x + 43y = 24
- - -
___________
-24x - 24y = -48
-24(x - y) = -48
x - y = -48 / -24
x - y = 2 .........(2)

Adding (1) & (2)
x + y = 0
x - y = 2
______
2x = 2
x = 2 / 2
x = 1

Putting value of x in (1)
x + y = 0
1 + y = 0
y = -1

x = 1 ; y = -1