Find x and y, if 2begin{bmatrix} 1 & 3 0 & x | vedclass

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Question

(A) Given equation: $2\begin{bmatrix} 1 & 3 \ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \ 1 & 8 \en

Vedclass · Accepted Answer

$x=3, y=3$

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(A) Given equation: $2\begin{bmatrix} 1 & 3 \ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \ 1 & 8 \end{bmatrix}$ Multiplying the first matrix by $2$: $\begin{bmatrix} 2 & 6 \ 0 & 2x \end{bmatrix} + \begin{bmatrix} y & 0 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \ 1 & 8 \end{bmatrix}$ Adding the two matrices: $\begin{bmatrix} 2+y & 6 \ 1 & 2x+2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \ 1 & 8 \end{bmatrix}$ Comparing corresponding elements: $2+y = 5 \Rightarrow y = 3$ $2x+2 = 8 \Rightarrow 2x = 6 \Rightarrow x = 3$ Thus,$x=3$ and $y=3$.

Find $x$ and $y,$ if $2\begin{bmatrix} 1 & 3 \\ 0 & x \end{bmatrix} + \begin{bmatrix} y & 0 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 5 & 6 \\ 1 & 8 \end{bmatrix}$

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