Systems of Equations
Chapter 7 Section 3
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Method 3
Solving systems of linear equations using Elimination
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Elimination
You can add or subtract equations in order to eliminate one variable.
**Once you have eliminated one
variable, solve for the other like
we did with Substitution!
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Example 1 – Adding Equations
Solve by elimination. *look for variables with coefficients that
have the same base but opposite signs!
5x – 6y = ­32
3x + 6y = 48
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Example 2 – Subtracting Equations
Solve by elimination. *when the variables
have the same coefficient you can eliminate
using subtraction!
2x – 3y = 61
2x + y = ­7
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Solve by elimination.
6x – 3y = 3
­6x + 5y = 3
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2
Solve by elimination.
3x – y = 4
3x – y = ­6
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Example 3 – Multiplying One Equation
Solve by elimination.
2x + 5y = ­22
10x + 3y = 22
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Example 4 – Multiplying Both Equations
Solve by elimination.
4x + 2y = 14
7x – 3y = ­8
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CLASSWORK
2 handouts
HOMEWORK
p. 356 #1­7, 17­28, 33­38
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