# System Of Equations

## 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.

## Graphing

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.

## Substitution

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.
Substitution

## Elimination

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.
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. 