Download 8-3 Solve Systems using Elimination

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SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
Do Now:
1. Graph the following system of equations: ​
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2. Solve the following system using substitution: ​
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1
SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
Solving Systems of Linear Equations by Elimination ​
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Step 1: Write the system so that like terms are aligned. ​
Step 2: Eliminate one of the variables and solve for the other variable. ​
Step 3: Substitute the value of the variable into one of the original equations and solve for the ​
other variable. ​
Step 4: Write the solution as an ordered pair (​x,​ y​ )​ , and check. ​
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Solve and check each system of equations.
1)
2)
​4​ x ​ y​ ​ ​1​
​2​ x​ ​ y​ ​ ​5​
​
​ x ​ 3​ y​ ​ 15​
​2​ x​ ​ 3​ y​ ​ ​6​
​
Quick check for understanding:
3)
4)
​3​x ​ y​ ​ ​26​
​2​ x​ ​ y​ ​ ​19​
​
​x ​ 3​ y​ ​ ​7​
​​ x​ ​ 2​ y​ ​ ​8​
​
2
SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
Solving System of linear equations using multiplication
5)
​2​ x ​ 2​ y​ ​ 4​
3​​ x​ ​ 2​ y​ ​ 7​
​
6)
6​​ x ​ 5​ y​ ​ 4​
6​​ x​ ​ 7​ y​ ​ 20​
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​
3
SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
7)
6​​ x ​ 4​ y​ ​ 8​​
​4​ x​ ​ 2​ y​ ​ 3​​
​
8)
5​​ x ​ 2​ y​ ​ 1​​
3​​ x​ ​ 7​ y​ ​ 11​
​
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4
SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
LESSON PRACTICE
1)
2)
​3​x ​ y​ ​ 14​
​ x​ ​ y​ ​ 2​
​
​4​ x ​ 4​ y​ ​ 22​
​2​ x​ ​ y​ ​ 10​
​
3)
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3​​ x ​ y​ ​ 16​
​2​ x​ ​ y​ ​ 11​
​
4)
5​​ x ​ y​ ​ 6​
5​​ x​ ​ 2​ y​ ​ 3​
​
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5
SWBAT: Solve systems of linear equations by elimination
Lesson 8-3
5)
6)
​ x ​ y​ ​ 13​
​ x​ ​ y​ ​ 5​
​
​ x ​ 2​ y​ ​ 8​
​ x​ ​ 2​ y​ ​ 4​
​
7)
8)
​8​ x ​ 5​ y​ ​ 9​
​2​ x​ ​ 5​ y​ ​ ​4​
​
​ x ​ 6​ y​ ​ 14​
​ x​ ​ 6​ y​ ​ ​10​
​
6
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