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We are given with,

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,

x + 3 = 5 …(i)

4 = 4

y – 4 = 3 …(ii)

x + y = 9 …(iii)

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

From equation (i),

x + 3 = 5

⇒ x = 5 – 3

⇒ x = 2

From equation (ii),

y – 4 = 3

⇒ y = 3 + 4

⇒ y = 7

We need not solve equation (iii) as we have got the values of x and y.

Thus, the values of x = 2 and y = 7.