# How do you solve this system of equations using substitution?

## $y = - 8 x$ $2 x + 4 y = 0$

Mar 14, 2017

$x = 0 , y = 0.$

#### Explanation:

$\because , y = - 8 x ,$ we substitute $- 8 x f \mathmr{and} y$ in $2 x + 4 y = 0$ & get,

$2 x + 4 \left(- 8 x\right) = 0 \Rightarrow 2 x - 32 x = 0 \Rightarrow - 30 x = 0 \Rightarrow x = \frac{0}{-} 30 = 0.$

Accordingly, $y = - 8 x = - 8 \left(0\right) = 0.$

Thus, $x = 0 , y = 0$ is a Soln.

Also, these roots satisfy the given eqns.

Hence, the soln. $x = 0 , y = 0.$

Enjoy Maths.!