# What is the solution of the following system of equations?: y = (1/3)x + 6, y = (1/3)x - 6

Apr 6, 2017

$\text{ no solution}$

#### Explanation:

The 2 equations are of the form $y = m x + b$ where m represents the slope and b the y-intercept.

$\text{both have a slope } m = \frac{1}{3}$ which indicates they are $\textcolor{b l u e}{\text{ parallel lines}}$

Thus the lines do not intersect hence there is no solution.
graph{(y-1/3x+6)(y-1/3x-6)=0 [-20, 20, -10, 10]}