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

Nov 27, 2015

The solution for the system of equations is
color(blue)(x=0,y=4

#### Explanation:

$3 x + \textcolor{b l u e}{y} = 4$......equation $\left(1\right)$
$2 x + \textcolor{b l u e}{y} = 4$......equation $\left(2\right)$

Solving by elimination

Subtracting equation $1$ from $2$ would result in elimination of color(blue)(y

$3 x + \cancel{\textcolor{b l u e}{y}} = 4$
$- 2 x - \cancel{\textcolor{b l u e}{y}} = - 4$

color(blue)(x=0

Substituting $x$ in equation $1$ to find $y$:

$3 x + y = 4$

$3 \cdot 0 + y = 4$
$0 + y = 4$
 color(blue)(y=4