# How do you solve the following system: 2x + y = 8 , 3x -2y=24 ?

May 9, 2018

color(maroon)(x = 40/7, y = -24/7

#### Explanation:

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

$3 x - 2 y = 24 , \text{ Eqn (2)}$

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

$\text{Adding Eqn(1) * 3 + Eqn(2)}$

$7 x = 40$

color(maroon)(x = 40/7

Substituting value of x in Eqn (1),

$\frac{2 \cdot 40}{7} + y = 8$

color(maroon)(y = 8 - 80/7 = -24/7