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Find X and Y If [(4, 3x),(X, -2)][(5), (1)] = [(Y),(8)] - ICSE Class 10 - Mathematics

Question

Find x and y if [(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]

Solution

[(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]

[(20 + 3x),(5x - 2)] = [(y), (8)]

Comparing the corresponding elements we get

5x - 2 = 8 => x = 2

20 + 3x = y => y = 20 + 6 = 26

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Solution Find X and Y If [(4, 3x),(X, -2)][(5), (1)] = [(Y),(8)] Concept: Multiplication of Matrix.
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