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A pair of linear equations which has a u...

A pair of linear equations which has a unique solution x = 2 and y = -3 is

A

`x + y = 1 and 2x - 3y = -5`

B

`2x + 5y = -11 and 4x + 10y= -22`

C

`2x - y =1 and 3x + 2y = 0`

D

`x - 4y - 14 = 0 and 5x - y - 13 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
If x = 2, y = -3 is a unique solution of any pair of equation, then these values must satisfy that pair of equations.
From option (b), LHS = 2x + 5y = 2 (2) + 5(-3) = 4 - 15 = -11 = RHS
and LHS = 4x + 10y = 4(2) + 10(-3) = 8 - 30 = -22 = RHS
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