Question

if $\left[\begin{array}{cc}2x+y& 4x\\ 5x-7& 4x\end{array}\right]=\left[\begin{array}{cc}7& 7y-13\\ y& x+6\end{array}\right]$, then the value of $x,y$ respectively is

• A. $3,1$
• B. $2,3$
• C. $2,4$
• D. $3,3$

Answer 1

Answer: (B)

$\left[\begin{array}{cc}2x+y& 4x\\ 5x-7& 4x\end{array}\right]=\left[\begin{array}{cc}7& 7y-13\\ y& x+6\end{array}\right]$

On comparing, we get

$4x=x+6\Rightarrow x=2$ and $2x+y=7$

$\Rightarrow y=7-4=3$