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Question
Find x and y from the given equations:
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
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Solution
`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`
`=> [(5 - 1, 2 - (x - 1)),(-1 -2, y - 1 -(-3))] = [(4,7),(-3, 2)]`
`=> [(4, 2 - x + 1),(-3, y - 1 -(-3))] = [(4,7),(-3, 2)]`
`=> [(4, 3-x),(-3, y + 2)] = [(4, 7), (-3, 2)]`
Equating the corresponding elements, we get
3 – x = 7 `=>` x = –7 + 3 = – 4
And y + 2 = 2 `=>` y = 2 – 2 = 0
Thus, we get, x = – 4 and y = 0.
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