We are given that,

We need to find the value of x and y.

Taking Left Hand Side (LHS) matrix of the equation,

Multiplying the scalar, 2 by each element of the matrix ,

Adding the corresponding elements,

Equate LHS to Right Hand Side (RHS) equation,

We know that if we have,

This implies,

a₁₁ = b₁₁, a₁₂ = b₁₂, a₂₁ = b₂₁ and a₂₂ = b₂₂

Similarly, the corresponding elements of two matrices are equal,

2 + y = 5 …(i)

6 = 6

1 = 1

2x + 2 = 8 …(ii)

We have equations (i) and (ii) to solve for x and y.

From equation (i),

2 + y = 5

⇒ y = 5 – 2

⇒ y = 3

From equation (ii),

2x + 2 = 8

⇒ 2x = 8 – 2

⇒ 2x = 6

⇒ x = 3

Thus, we have x = 3 and y = 3.