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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

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#### Solution

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

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