Find x if x + y = 5 and x -y =7

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Solution

$x + y = 5$ .......(1)

$x - y = 7$ .........(2)

Adding equations(1) and (2), we get

$x + y + x - y = 5 + 7$

$2 x = 12 ⟹ x = 6$

Now putting this value of x in equation (1), we get y=-1

So, $x = 6, y = - 1$ (solution)

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