# How do you use the elimination method to solve the system of equations 3x-9y=0 and 6x+6y=0?

Jan 4, 2018

$x = y = 0$

#### Explanation:

$3 x - 9 y = 0$, $\therefore 2 \left(3 x - 9 y\right) = 6 x - 18 y = 0$

$6 x - 18 y - \left(6 x + 6 y\right) = 0 - 0 = 0$

$- 18 y - 6 y = 0$

$- 24 y = 0$

$y = 0$

Plugging in $y = 0$ into any of the two equations, we find that

$x = 0$