# How do you solve 3x-y= -4 and 3x-y=0?

Aug 5, 2015

There is no solution.

#### Explanation:

We can try the method of elimination.

[1] $3 x - y = 4$
[2] $3 x - y = 0$

Subtract Equation 2 from Equation 1.

$0 = 4$

This is impossible, so there is no solution.

We can see why there is no solution if we plot the two graphs:

[1] $y = 3 x - 4$
[2] $y = 3 x$

The graphs are parallel and do not intersect. Hence there can be no solution.