Question

a pair of linear equations which has a unique solution x=2, x=-3 is : a) x+y=-1 ;2x-3y=-5 b) 2x + 5y=-11; 4x+10y=-22 c) 2x-y=1; 3x+2y=0 D) x-4y=14;5x-y=13​

Answer 1

Answer:

(a),(c),(d)

Explanation:

when equations for two lines are given such that

ax+by+c=0

gx+hx+j=0

then condition for unique solution is

a/g is not equal to b/h

Answer 2

Answer:

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

hope this helps

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