Question

If $\left(\begin{array}{cc}3x+7& 5\\ y+1& 2-3x\end{array}\right)=\left(\begin{array}{cc}1& y-2\\ 8& 8\end{array}\right)$, then the value of $x$ and $y$ respectively are

• A. $-2,7$
• B. $-\frac{1}{3},7$
• C. $-\frac{1}{3},-\frac{2}{3}$
• D. $2,-7$

Answer 1

The correct option is A $-2,7$

Given, $\left(\begin{array}{cc}3x+7& 5\\ y+1& 2-3x\end{array}\right)=\left(\begin{array}{cc}1& y-2\\ 8& 8\end{array}\right)$

Therefore, $3x+7=1$

$\Rightarrow 3x=-6$

$\Rightarrow x=-2$

Also, $y+1=8$

$\Rightarrow y=8-1$

$\Rightarrow y=7$

Thus, the value of $x$ and $y$ are $-2$ and $7$ respectively.