# How do you solve 3x + y = 6 and -x - 1/3y = -2?

Mar 14, 2017

There are infinitely many solutions of the form $\left(x , 6 - 3 x\right) , \forall x \in \mathbb{R}$

#### Explanation:

Given
[1]$\textcolor{w h i t e}{\text{XXX}} 3 x + y = 6$
and
[2]$\textcolor{w h i t e}{\text{XXX}} - x - \frac{1}{3} y = - 2$

Note that [1] is simply [2] multiplied by $\left(- 3\right)$
so these equations represent the same line.