Solve Linear Systems by Graphing
System of linear Equations consists of 2 or more linear equations in the same
variables.
Example
Equation 1: x+2y=7
Equation 2: 3x-2y=5
Solution of a System of Linear Equations an ordered pair that satisfies each
equation in the system.
Graphing to solve a linear system:
Use the graph to solve the system.
Equation 1: x+2y=7
Equation 2: 3x-2y=5
The lines appear to intersect at (3,2), to check, substitute 3 for x and 2
for y in each equation
Because the ordered pair (3,2) is a solution of each equation. It is a
solution of a system.
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If the linear system has exactly one solution, it is called a consistent
independent system. Because the lines are distinct (are independent) and
intersect (are consistent)
Steps of solving a linear system
1. Graph both equations in the same coordinate plane. It is easiest to graph the
equations when they are in slope-intercept form.
2. Estimate the coordinate of the point of intersection.
3. Check the coordinates by plugging the ordered pair into both equations and
see if the ordered pair fits both equations.
Try These:

-5x+y=0
5x+y=10

-x+2y=3
2x+y=4

x-y=5
3x+y=3
3  2(2)  7
3x  2y  5
3(3)  2(2)  5
3 4  7
94 5
x  2y  7
77
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