How to Graphically Solve Systems of Equations
Here you will learn how to use graphic solving to solve systems of equations through a set of instructions that will always get you to the finish line!
Solve the system of equations: y − 2x = 2 (1) 4y + 4x = 20 (2)
Then you solve (2) with respect to y: 4y + 4x = 20 4y = −4x + 20|÷ 4 y = −x + 5
Recall that there are three different kinds of solutions. There are solutions where the graphs do not intersect, solutions where the graphs intersect at one point, and solutions where the graphs are on top of each other and intersect at every point.
If you’re ever unsure of the solution you find through algebra, you can always get some perspective by drawing the graphs of the equations. I always feel like it helps to have an image of how everything connects together.
With training you will find that you can sketch these in your mind, which is very useful!