# How do you solve 5x + 4y = 2 and 3x - 4y = 14?

Aug 2, 2015

The solution for the system of equations is
color(blue)(x=2,y=-2

#### Explanation:

Upon adding the two equations we can eliminate $\textcolor{b l u e}{4 y}$

$5 x + \textcolor{b l u e}{\cancel{4} y} = 2$ .....equation $\left(1\right)$
 3x−color(blue)(cancel4y)=14 .....equation $\left(2\right)$

$8 x = 16$
color(blue)(x=2

Substituting the value of $x$ in the first equation to find $y$
$5 x + 4 y = 2$

$5 \cdot \left(2\right) + 4 y = 2$

$10 + 4 y = 2$

$4 y = - 8$
color(blue)(y=-2