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प्रश्न
If `[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]`, then the value of x + y is ______.
विकल्प
x = 3, y = 1
x = 2, y = 3
x = 2, y = 4
x = 3, y = 3
उत्तर
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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