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Solving Systems with Substitution,
Elimination
Algebra 2 3-2
• Substitution – A method used to
solve systems of equations
Vocabulary
Substitution - Example
Substitution - Example
Substitution - Example
Substitution - Example
Substitution - Practice
Elimination - Introduction
Elimination with Addition – Adding
two equations in a system together to
eliminate a variable and solve the
equation
Vocabulary
limination - Example
limination - Example
limination - Example
Elimination - Example
Elimination - Practice
Elimination - Practice
Elimination - Practice
Elimination with Multiplication –
Using the multiplication property of
equality and addition in a system
together to eliminate a variable and
solve the equation
Vocabulary
limination - Example
limination - Example
Elimination - Practice
Elimination - Practice
Elimination - Practice
Elimination - Summary
Situation
Method
Graph
Graphing
Variable with coefficient of
one
Variable with opposite
coefficients
Variable with matching
coefficients
No matching coefficients
Substitution
Addition
Subtraction
Multiplication
Strategy First
3x-y=14
x-y=2
Strategy Practice
x+2y=-9
y=4x
Strategy Practice
x=-2y
4x+4y=-10
Strategy Practice
2x-3y=42
3x+2y=24
Strategy Practice
4x-4y=-10
2x+4y=-2
Strategy Practice
• Pages 194 – 197
• 15, 16, 19 – 22, 28 – 31, 34, 38, 55,
56
Homework
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