We are given that,

We need to find the values of x and y.

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 matrices are equal.

That is,

3x + y = 1 …(i)

-y = 2 …(ii)

2y – x = -5 …(iii)

3 = 3

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

From equation (ii),

-y = 2

Multiplying both sides by -1,

-1 × -y = -1 × 2

⇒ y = -2

Substituting y = -2 in either of the equations (i) or (iii), say (i)

3x + y = 1

⇒ 3x + (-2) = 1

⇒ 3x – 2 = 1

⇒ 3x = 1 + 2

⇒ 3x = 3

⇒ x = 1

Thus, we get x = 1 and y = -2.