# How do solve the following linear system?:  x-2y=8 , 2x+7=-5y ?

May 9, 2018

color(brown)(x = 26/9, y = -23/9

#### Explanation:

$x - 2 y = 8 , \text{ Eqn (1)}$

$2 x + 5 y = - 7 , \text{ Eqn (2)}$

$2 x - 4 y = 16 , , \text{Eqn (1) * 2}$

$\text{Eqn (2) - 2 * Eqn (1)}$

$5 y + 4 y = - 23$

color(brown)(y = -23/9

Substituting value of y in Eqn (1),

$x + \frac{2 \cdot 23}{9} = 8$

color(brown)(x = 8 - 46/9 = 26/9