Identify pair of linear equations from the following which has the unique solution x = - 1, y = 3.

x + y = 2

x - y = - 4

;

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2 x + y = 6

2 x - 3 y = 6

;

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5 x - 8 y = 13

x + 3 y = 7

;

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Cannot be determined

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Solution

The correct option is A $x + y = 2$ & $x - y = - 4$ ;
As x = -1, y = 3 is a point
So many lines can pass through a point,
Therefore infinitely many pairs can possible
like $(i) x - y = - 4, x + y = 2$
(ii) $6 x - 2 y = - 12, 3 x + y = 0$

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