What must be the matrix X if 2X + begin{bmatr | vedclass

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(A) Given the equation: $2X + \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix}$Subtract the matrix $\begin{

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$\begin{bmatrix} 1 & 3 \ 2 & -1 \end{bmatrix}$

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(A) Given the equation: $2X + \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix}$Subtract the matrix $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$ from both sides:$2X = \begin{bmatrix} 3 & 8 \ 7 & 2 \end{bmatrix} - \begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix}$$2X = \begin{bmatrix} 3-1 & 8-2 \ 7-3 & 2-4 \end{bmatrix}$$2X = \begin{bmatrix} 2 & 6 \ 4 & -2 \end{bmatrix}$Divide the entire matrix by $2$:$X = \frac{1}{2} \begin{bmatrix} 2 & 6 \ 4 & -2 \end{bmatrix} = \begin{bmatrix} 1 & 3 \ 2 & -1 \end{bmatrix}$

Market	$x$	$y$	$z$
$I$	$10,000$	$2,000$	$18,000$
$II$	$6,000$	$20,000$	$8,000$

What must be the matrix $X$ if $2X + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}$?

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