How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #4x+5y=-2# and #4y-x=11#?
When you graph the functions, you come up with two lines that lie as follows in the Cartesian plane:
You will notice there is a single intersection (namely
In some cases you will plot a system and there will be no intersection. This would be an example of an inconsistent system.
Writing your System in the form
multiplying the second equation by