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.