# How do you find the solution of 2x + 4y = 8 and x + 4y = 6?

Aug 14, 2015

The solutions are
color(blue)(x=2,y=1

#### Explanation:

$\textcolor{b l u e}{2 x} + 4 y = 8$........equation $1$

$x + 4 y = 6$ , multiplying this equation by $2$
$\textcolor{b l u e}{2 x} + 8 y = 12$......equation $2$

Solving by elimination :
Subtracting equation $2$ from $1$ results in elimination of color(blue)(2x

$\cancel{\textcolor{b l u e}{2 x}} + 4 y = 8$
$- \cancel{\textcolor{b l u e}{2 x}} - 8 y = - 12$

$- 4 y = - 4$
color(blue)(y=1

Now finding $x$ by substituting the value of $y$ in equation $2$
$x + 4 y = 6$
$x = 6 - 4 y$
$x = 6 - 4 \cdot 1$
color(blue)(x=2