# How do you solve  x+3y=11 and x+4y=14?

Aug 2, 2015

The solution for the system of equations is
color(green)(x=2,y=3

#### Explanation:

$x + 3 y = 11$
x=color(green)(11-3y....equation $\left(1\right)$

$x + 4 y = 14$...equation $\left(2\right)$

Substituting equation$\left(1\right)$ in equation $\left(2\right)$ to find $y$

$x + 4 y = 14$

color(green)(11-3y+4y=14

$11 - 3 y + 4 y = 14$

$11 + y = 14$

color(green)(y=3

Substituting the value of $y$ in equation $\left(1\right)$to find $x$

$x = 11 - 3 y$

$x = 11 - 3 \cdot 3$

color(green)(x=2