# How do you solve x-4y=-8 and -3x+12y=24?

Aug 4, 2015

There is no unique solution for the given equation(s)

#### Explanation:

[1]$\textcolor{w h i t e}{\text{XXXX}}$$x - 4 y = - 8$
and
[2]$\textcolor{w h i t e}{\text{XXXX}}$$- 3 x + 12 y = 24$

are actually the same equation
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$([1} multiplied by $\left(- 3\right)$ is the same as [2])

They are not 2 intersecting equations.

Aug 4, 2015

You have $\infty$ solutions.

#### Explanation:

The second equation is equal to the first one multiplied by $- 3$; so basically you have two equations representing two coincident lines (technically one on top of the other) so your system has $\infty$ solutions corresponding to the $\infty$ number of common points between the two lines!