1.

If \(\begin{bmatrix} y\,+\,2x & 5 \\[0.3em] -x\,& 3 \\[0.3em] \end{bmatrix} \)= \(\begin{bmatrix}7 & 5 \\[0.3em] -2\,& 3 \\[0.3em] \end{bmatrix} \), then find the value of y.

Answer»

Equating the corresponding elements, we get

y + 2x = 7 and – x = – 2

⇒ x = 2 and y + 2 × 2 = 7

⇒ y = 7 – 4 = 3



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