Answer :

We are given with,


We need to find the values of x and y.


We know by the property of matrices,



This implies,


a11 = b11, a12 = b12, a21 = b21 and a22 = b22


So, if we have



Corresponding elements of two matrices are equal.


That is,


x + 3 = 5 …(i)


4 = 4


y – 4 = 3 …(ii)


x + y = 9 …(iii)


To solve for x and y, we have three equations (i), (ii) and (iii).


From equation (i),


x + 3 = 5


x = 5 – 3


x = 2


From equation (ii),


y – 4 = 3


y = 3 + 4


y = 7


We need not solve equation (iii) as we have got the values of x and y.


Thus, the values of x = 2 and y = 7.


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