How Do You Solve a System of Equations by Graphing?

Note:

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!

Keywords:

problem
line
linear equations
system of equations
system
2 equations
find intersection
solve system of equations
solve graphically
line intersection
graph line intersection
plot
consistent
1 solution
independent
2 equations
2 unknowns
2 variables

Background Tutorials

Working with Slope-Intercept Form
- What's Slope-Intercept Form of a Linear Equation?
  
  When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!
Definitions of Systems
- What's a System of Linear Equations?
  
  A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.
- What's a Solution to a System of Linear Equations?
  
  If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!
Solving Systems by Graphing
- How Do You Check Your Answer When You Have Two Equations?
  
  Imagine you have two equations with two variables that you're trying to solve for, and someone hands you the answer. How do you know that the answer is right? After watching this tutorial you'll see exactly what it takes to check that the answer you have is correct for BOTH equations!