# Solving Systems of Equations Graphically

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Examples, videos, worksheets, solution, and activities to help Algebra 1 students learn how to solve systems of linear equations graphically.

The following diagrams show the three types of solutions that can be obtained from a system of linear equations. Scroll down the page for more examples and solutions on graphing systems of linear equations. How to solve a system of linear equations by graphing?
The first step is to graph each of the given equations, then find the point of intersection of the two lines, which is the solution to the system of equations.
If the two lines are parallel, then the solution to the system is the null set.
If the two given equations represent the same line, then the solution to the system is the equation of that line.

Solving Systems of Equations Graphically
Some examples on solving systems of equations graphically.
Examples:
Solve x + y = 1, x - y = -5
Solve y = 2x -4, y = -1/2 x + 1
Solve 2x + 3y = 6, y = -2/3 x - 2

Graphing Systems of Equations
Example:
y = 3/2 x + 1
y = -x + 6

Solve a system of equations by graphing
Example:
Solve the following system of equations by graphing
y = 2x + 1, x + y = 4

Graphing Systems of Equations
Example:
Solve the system of equations by graphing
5x + 3y = 7, 3x - 2y = 8

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