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Solve for x and y: [x+yx-4][-1-222]=[-7-11] - Mathematics

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Question

Solve for x and y:

`[(x + y, x - 4)][(-1, -2),(2, 2)] = [(-7, -11)]`

Sum
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Solution

`[(x + y, x - 4)][(-1, -2),(2, 2)] = [(-7, -11)]`

`[(-x - y + 2x - 8, -2x - 2y + 2x - 8)]  = [(-7, -11)]`

`[(-y + x - 8, -2y - 8)] = [(-7, -11)]`

Comparing the corresponding elements, we get,

−2y − 8 = −11

`=>` −2y = −3

`=> y =3/2`
−y + x − 8 = −7

`=> -3/2 + x - 8 = -7`

`=> x = 1 + 3/2 = 5/2`

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