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,

a + b = 6 …(i)

b = 4 …(ii)

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

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

From equation (ii),

b = 4

Substituting the value of b = 4 in equation (i),

a + b = 6

⇒ a + 4 = 6

⇒ a = 6 – 4

⇒ a = 2

Thus, we get a = 2.