How Do You Solve a System of Equations by Graphing?

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

Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, ax + by = c, and y - y1 = m(x - x1)

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!

Further Exploration

Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems

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 substituting one equation into the other and solving for the variable. Then, see how to use that variable value to find the value of the other variable. Check it out!