Question

The solution of the equations $2x-3y=7$ and $4x-6y=20$ is

• A. $x=18,y=12$
• B. $x=0,y=0$
• C. No solution
• D. $x=8,y=5$

Answer 1

Answer: (C)

No solution

Let $2x-3y=7$ ....(1)

and $4x-6y=20$ ....(2)

Multiplying eqn (1) with $2$, we get

$4x-6y=14$ ....(3)

Comparing with eqn (2), $14\ne 20$

Or we can say line 1 and line 2 are two parallel lines, which never touch each other.

Therefore, there is no solution for $x$ and $y.$