Chapter 4.1(d) Solving systems by substitution.notebook
November 17, 2016
Bellwork:
Perform the indicated operation:
1)
2)
Homework Questions???
3)
Solve the following systems:
4) Graphing
5) Substitution
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Solving a System Using Substitution
Step 1: Solve one equation of one of the variables
Chapter 4.1(d) Solving Systems of Linear Equations in Two Variables
Step 2: Substitute expression from Step 1 into the other equation.
Step 3: Solve for one Variable
Solve a system by substitution. Identify special cases.
Step 4: Substitute answer to step 3 into one of the original equations.
Step 5: Check answer by substituting ordered pair into original equation.
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1) Solve by Substitution:
2) Solve by Substitution:
Step 1: Step 1: Step 2: Step 2: Step 3: Step 3: Step 4: Step 4: Step 5: Step 5: Nov 5­10:32 AM
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Chapter 4.1(d) Solving systems by substitution.notebook
November 17, 2016
Solve by Substitution:
Special Cases
4)
5)
Infinite Number of Solutions (same line): Consistent system with dependent equations. Will get a statement that is always true (a = a or 2 = 2)
No Solution (parallel lines): Inconsistent System with independent equations. Will get a statement that is always false 6) (a = b, 2 = 5)
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Homework Answers
1) No solution
2) (3, ­3)
3) (­3, 2)
Homework
Solving systems by Substitution Part 2
4) Infinite # of solutions
5) (­2, ­2)
6) (4, 1)
7) (0, ­5)
8) No Solution
9) (­3, ­1)
10) (3, 1)
11) Infinite # of solutions
12) (­2, 1)
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Chapter 4.1(d) Solving systems by substitution.notebook
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November 17, 2016
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