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Given `[(2, 1),(-3, 4)] X = [(7),(6)]` Write the Matrix X - ICSE Class 10 - Mathematics

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Question

Given `[(2, 1),(-3, 4)] x = [(7),(6)]` Write the matrix x

Solution

Let `x = [(x),(y)]`

`:. [(2, 1),(-3, 4)] xx [(x),(y)] = [(7),(6)] => [(2x + y),(-3x + 4y)] = [(7),(6)]`

=> 2x + y = 7 and -3x + 4y = 6

On soling the above simultaneous equation in x and y, we have x = 2 and y = 3

:. The matruix x = `[(x), (y)] = [(2),(3)]`

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Solution Given `[(2, 1),(-3, 4)] X = [(7),(6)]` Write the Matrix X Concept: Matrices Examples.
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