Question

plz solve the question ​

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{It is given that:}$

       $A = \left[\begin{array}{cc}a&2\\b&3\end{array}\right]$

       $B = \left[\begin{array}{cc}2&2\\3&3\end{array}\right]$

       $C = \left[\begin{array}{cc}3&x\\5&y \end{array}\right]$

       $\text{It is also given that }A+B=C \text{ ------ (i)}$

$\implies A+B = \left[\begin{array}{cc}a&2\\b&3\end{array}\right]+\left[\begin{array}{cc}2&2\\3&3\end{array}\right]$

$\implies A+B = \left[\begin{array}{cc}a+2&4\\b+3&6\end{array}\right]$

       $\text{From (i)}$

$\implies C = \left[\begin{array}{cc}a+2&4\\b+3&6\end{array}\right]$

       $\text{We know that, }C = \left[\begin{array}{cc}3&x\\5&y \end{array}\right]$

$\implies \left[\begin{array}{cc}3&x\\5&y \end{array}\right]= \left[\begin{array}{cc}a+2&4\\b+3&6\end{array}\right]$

       $\text{Comparing the two sides}$

$\implies a +2 = 3$      $\implies b+3 = 5$            

$\implies a = 3-2$      $\implies b = 5-3$

$\implies \boxed{a=1}$          $\implies \boxed{b = 2}$         $\implies \boxed{x = 4}$        $\implies \boxed{y = 6}$