Find the values of x and y from the following | vedclass

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(A) Given the equation:$2\begin{bmatrix} x & 5 \ 7 & y-3 \end{bmatrix} + \begin{bmatrix} 3 & -4 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \ 15

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$x=2, y=9$

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(A) Given the equation:$2\begin{bmatrix} x & 5 \ 7 & y-3 \end{bmatrix} + \begin{bmatrix} 3 & -4 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \ 15 & 14 \end{bmatrix}$Multiply the first matrix by $2$:$\begin{bmatrix} 2x & 10 \ 14 & 2y-6 \end{bmatrix} + \begin{bmatrix} 3 & -4 \ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \ 15 & 14 \end{bmatrix}$Add the two matrices on the left side:$\begin{bmatrix} 2x+3 & 10-4 \ 14+1 & 2y-6+2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \ 15 & 14 \end{bmatrix}$$\begin{bmatrix} 2x+3 & 6 \ 15 & 2y-4 \end{bmatrix} = \begin{bmatrix} 7 & 6 \ 15 & 14 \end{bmatrix}$By comparing the corresponding elements:$2x+3 = 7 \Rightarrow 2x = 4 \Rightarrow x = 2$$2y-4 = 14 \Rightarrow 2y = 18 \Rightarrow y = 9$Thus,$x=2$ and $y=9$.

Find the values of $x$ and $y$ from the following equation:
$2\begin{bmatrix} x & 5 \\ 7 & y-3 \end{bmatrix} + \begin{bmatrix} 3 & -4 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \\ 15 & 14 \end{bmatrix}$

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Find the values of $x$ and $y$ from the following equation:$2\begin{bmatrix} x & 5 \\ 7 & y-3 \end{bmatrix} + \begin{bmatrix} 3 & -4 \\ 1 & 2 \end{bmatrix} = \begin{bmatrix} 7 & 6 \\ 15 & 14 \end{bmatrix}$