Question

Find the solution of the pair of linear equations x+2y=0 and 2x+4y=0.

Answer 1

Your equations are wrong. Both the equations are basically the same. It is like multiplying the first equation by 2 to get the second equation. So, essentially, there are two unknowns and only one equation. Hence, it cannot be solved.

Please check for the correctness of both equations.

Answer 2

EXPLANATION.

⇒ x + 2y = 0. - - - - - (1).

⇒ 2x + 4y = 0. - - - - - (2).

We can write equation (1) as,

⇒ x = - 2y. - - - - - (1).

Put the value of equation (1) in equation (2), we get.

⇒ 2x + 4y = 0. - - - - - (2).

⇒ 2(- 2y) + 4y = 0.

⇒ - 4y + 4y = 0.

⇒ y = 0.

Put the value of y = 0 in the equation (1), we get.

⇒ x = - 2y. - - - - - (1).

⇒ x = - 2(0).

⇒ x = 0.

∴ value of x = 0  and  y = 0.