System Of Equations

Megan Fietz

What is a system of equations?

A system of equations is a set of two equations with a unknown x and y. Solving the two equations will give you a intersection point.


The best time to use graphing is when you have two equations that are both in slope intercept form. For example, y=2x+3 and y=-2x-3.


The best time to use substitution is when one equation is in slope intercept form and the other in any other form. For example, y=2x-4 and 3x+2y=4.

More Substitution


The best time to use elimination is when both equations are in the same form and have one variable in common. For example, 2x+5y=10 and -2x-3y=-14.

More Elimination

Write a System

You write a system when there is a word problem and you have to figure it out. You have to find what your equation is first and then figure our the coordinates.

Word Problem

In a word problem you have to figure out the two equations you are going to be using.

One Solution

One solution is when there is only one answer to an equation.

No Solution

No solution is when there is no answer to an equation.

Infinitely Many

Infinitely many is when the are an infinite amount of answers to a equation.
Big image