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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