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Find X and Y If (4, 3x),(X, -2)(5), (1) = (Y),(8) - 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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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 9: Matrices
Exercise 9 (C) | Q 4.1 | Page 129
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Find X and Y If (4, 3x),(X, -2)(5), (1) = (Y),(8) Concept: Multiplication of Matrix.
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