# How do you solve X + 8y =7 and X = 2-8y?

Aug 30, 2015

The given equations represent a pair of parallel lines (they do not intersect) and therefore there are not solutions.

#### Explanation:

Given
[1]$\textcolor{w h i t e}{\text{XXX}} x + 8 y = 7$
and
[2]$\textcolor{w h i t e}{\text{XXX")x=2-8ycolor(white)("XXX")rarrcolor(white)("XXX}} x + 8 y = 2$

We have declarations that $x + 8 y$ is equal to both $7$ and $2$.

Since this is clearly impossible, there are no solutions for the given pair of equations.