Find the value of x, if 2&5 3&x = x&-1 5&3 is:

MCQ

Find the value of $x,$ if $\begin{bmatrix}2&5\\3&\text{x}\end{bmatrix}=\begin{bmatrix}\text{x}&-1\\5&3\end{bmatrix}$ is:

✓
$20$
B
$-20$
C
$30$
D
$-30$

✓

Answer

Correct option: A.

$20$

$\begin{bmatrix}2&5\\3&\text{x}\end{bmatrix}=\begin{bmatrix}\text{x}&-1\\5&3\end{bmatrix}$
$\Rightarrow2\text{x}-15=3\text{x}+5 $
$\Rightarrow\text{x}=-20$

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