Name __________________________________________________________ Date __________ Color _______
Algebra I
Ms. Hahl
Solving Systems of Equations Graphically
A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system
of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
When solving a system containing two linear equations there will be one ordered pair (x,y) that will work in
both equations.
To solve such a system graphically, we will graph both lines on the same set of axis and look for the point of
intersection. The point of intersection will be the one ordered pair that works in both equations. We must then
CHECK the solution by substituting the x and y coordinates in BOTH ORIGINAL EQUATIONS.
Directions when solving Systems of Equations Graphically:
1) Put both lines into slope intercept form (y = mx + b)
2) Graph both lines on the same set of axis.
3) Find the point of intersection and label it. (This is the solution to the system.)
4) Make sure you label 5 THINGS!!! x-axis, y-axis, 1st line, 2nd line, and point of int.!!!!
5) Check your solution (point of intersection) in both original equations!!
Example: Solve the following system graphically, then check your solution.
::CHECK::
1st equation:
2nd equation:
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Do Now: Solve each of the systems of equations graphically, and then check your solution.
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2)
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Directions: Solve each system graphically, and then graph your solution.
REMEMBER:
1) Put both lines into slope intercept form (y = mx + b)
2) Graph both lines on the same set of axis.
3) Find the point of intersection and label it. (This is the solution to the system.)
4) Make sure you label 5 THINGS!!! x-axis, y-axis, 1st line, 2nd line, and point of int.!!!!
5) Check your solution (point of intersection) in both original equations!!
1)
2)
3)
4)
5)
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