Answer :

We are given that,


We need to find the value of x.


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,


2x + y = 6 …(i)


3y = 0 …(ii)


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


We can’t solve for x using only equation (i) as equation (i) contains x as well as y. We need to find the value of y from equation (ii) first.


From equation (ii),


3y = 0



y = 0


Substituting y = 0 in equation (i),


2x + y = 6


2x + (0) = 6


2x = 6 – 0


2x = 6



x = 3


Thus, we get x = 3.


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