# How do you solve the following system?:  2x - 4y = 5 , 3x + 2y = 3

May 9, 2018

color(green)(x = 11/8, y = -9/16

#### Explanation:

$2 x - 4 y = 5 , \text{ Eqn (1)}$

$3 x + 2 y = 3 , \text{ Eqn (2)}$

$6 x + 4 y = 6 , \text{ Eqn (2) * 2}$

$\text{Adding Eqn (1) with (2 * Eqn (2))}$

$8 x = 11$

color(green)(x = 11/8

Substituting value of x in Eqn (1),

$\frac{2 \cdot 11}{8} - 4 y = 5$

$- 4 y = 5 - \frac{22}{8} = \frac{9}{4}$

color(green)(y = - 9/16