Which of the given values of x and y make the following pair of matrices equal? [ 3 x + 7 5 y + 1 2 - 3 x ] = [ 0 y - 2 8 4 ]

Question

Which of the given values of $x$ and $y$ make the following pair of matrices equal?

$[\begin{matrix} 3 x + 7 & 5 \\ y + 1 & 2 - 3 x \end{matrix}] = [\begin{matrix} 0 & y - 2 \\ 8 & 4 \end{matrix}]$

Smart Achievers · Accepted Answer

(2)

Ans. not possible to find

Explanation:

Consider, $[\begin{matrix} 3 x + 7 & 5 \\ y + 1 & 2 - 3 x \end{matrix}] = [\begin{matrix} 0 & y - 2 \\ 8 & 4 \end{matrix}]$

$\Rightarrow 3 x + 7 = 0, 5 = y - 2, y + 1 = 8, 2 - 3 x = 4$

$\Rightarrow x = \frac{- 7}{3}, y = 7; y = 7, x = \frac{- 2}{3}$

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