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Answer :

We are given that,


We need to find the value of 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 elements are equal.


That is,


x = 3 …(i)


x – y = 1 …(ii)


2x + y = 8 …(iii)


7 = 7


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


From equation (i),


x = 3


Substituting the value of x = 3 in equation (ii),


x – y = 1


3 – y = 1


y = 3 – 1


y = 2


Thus, we get y = 2.


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