Question

If `[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]`, then the value of x + y is ______.

Options

• x = 3, y = 1

• x = 2, y = 3

• x = 2, y = 4

• x = 3, y = 3

Answer 1

If `[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]`, then the value of x + y is x = 2, y = 3.

Explanation:

Given that: `[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]`

Equating the corresponding elements, we get,

2x + y = 7  ......(i)

And 4x = x + 6   ......(ii)

From equations (ii) 

4x – x = 6

3x = 6

∴ x = 2

From equations (i)

 2 × 2 + y = 7

4 + y = 7

∴ y = 7 – 4 = 3