7-1: Solving Systems by Graphing

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7-1 Solving Systems by Graphing

• Objective
• Students will be able to sketch the solution of a
  system of two linear equations.
• CST 9.0

Designed by Natalie Manosar, Nipomo High School
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A System of Equations is a set of one or more
equations, usually two.
A Solution to a system of equations is the
point(s) at which they intersect.
i.e. The two graphs below intersect at the
point (1, 1). So, their solution is (1, 1).
(1, 1)
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Example 1 Solve by graphing.
(1, 3)
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Example 2 Solve by graphing.
x y 2
3y 2x 9
x y 2
3y 2x 9
- x
- x
- 2x
- 2x
y -x 2
3y -2x 9
3
3
3
-1
-1
-1
y x - 2
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Example 2 Solve by graphing.
x y 2
y x - 2
3y 2x 9
(3, 1)
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Example 3 Solve by graphing.
y -x 5
2x 2y -8
2x 2y -8
y -x 5
- 2x
- 2x
2y -2x - 8
2
2
2
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Example 3 Solve by graphing.
y -x 5
2x 2y -8
No Solution Parallel lines