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Question

Find the unique solution of the pair of linear equations x + 2y = 5, 7x + 3y = 13.


A

(1, 2)

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B

(2, 1)

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C

(3, 1)

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D

(1, 3)

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Solution

The correct option is A

(1, 2)


x + 2y = 5------(i)

7x + 3y = 13----(ii)

(i) × 3 3x+ 6y = 15 -------(iii)
(ii) × 2 14x + 6y = 26------(iv)

(iv) - (iii) 11x = 11 x = 1.

Substitute the value of x in (i), we get y = 2.

(x, y) =(1, 2)


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