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#?
Careful observation reveals that these are the same line.
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.