# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent y = 3x + 2 and 3y = 9x + 6?

May 14, 2016

1 equation with 2 unknowns isn't solvable.

#### Explanation:

The second equation simplifies to the same as the first equation by dividing both sides by $3$, therefore, we only have one equation

$y = 3 x + 2$

1 equation with 2 unknowns does not have a single point solution. In fact the solution is any $\left(x , y\right)$ point on the co-incident lines. Graphing this confirms our suspicion, as all points lie on top of each other.

graph{3x+2 [-5, 5, -2.5, 2.5]}