# How do you solve the system of linear equations y=2x and y=-2x-5?

Jul 2, 2018

color(purple)(x = 5/4, y = 5/2

#### Explanation:

$y = 2 x , \text{ Eqn (1)}$

$y = - 2 y - 5 , \text{ Eqn (2)}$

Substituting value of y in terms of x in Eqn (2),

$2 x = - 2 x - 5$

$4 x = 5 \text{ or } x = \frac{5}{4}$

$y = 2 x = 2 \cdot \left(\frac{5}{4}\right) = \frac{5}{2}$