Q. 10 B4.5( 2 Votes )

The solution set of 2x + y = 6 and 4x + 2y = 5 is
A. {(x, Y)| 2x + y = 6; x, y R}

B. {(x, y) | 2x + y = 0; x, y y R}

C. Φ

D. infinite set

Answer :

Given: 2x + y = 6 and 4x + 2y = 5


Change the given equations to the form,


a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)


2x + y – 6 = 0


And


4x + 2y – 5 = 0


On comparing with (i) we get,


a1 = 2,


b1 = 1,


c1 = – 6;


a2 = 4,


b2 = 2,


c2 = – 5;





This means that the equations are inconsistent and have no solution.

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