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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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Chapter 9: Matrices - Exercise 9 (C) [Page 130]
