# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #5x-6y=-18# and #6y-5x=18#?

##### 1 Answer

Jan 13, 2016

Careful observation reveals that these are the same line.

#### Explanation:

If you take the first equation,

and multiply both sides by -1, you get

which rearranges to

Since they are the same line, ALL solutions for

The easiest way to graph is to choose two values for

If the lines were NOT the same, you could graph them the same way (choosing values for

To help you visualize what is going on, you may find it useful to play with a graphing calculator such as https://www.desmos.com/calculator.