Unit 1 Solving Linear Systems by Substitution

# Unit 1 Solving Linear Systems by Substitution

## Unit 1 Solving Linear Systems by Substitution

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##### Presentation Transcript

1. Unit 1Solving Linear Systems by Substitution Learning Goal: I can solve a system of linear equations algebraically, using the method of substitution

2. Warm-Up: Problem of the Day Claire has a small personal business making scented candles.Her startup costs are \$200 and her cost to make each candle is\$1.50. She sells each candle for \$4.00 • Define variables and create 2 equations to model this situation; one for Claire’s costs and one for revenue. • In the context of this problem, what would the solution to this linear system represent?

3. Recall Solving by Graphing

4. Solving Systems by Substitution

5. Steps for Solving by Substitution: • Isolate one variable • Substitute expression into other equation • Solve for one variable • Substitute to solve for remaining variable • Check in opposite equation as last substitution • State solution

6. Practice – Solve each by Substitution a) b)

7. Homework • Pg. 92-93 # 7, 8, 12 a,e • Pg. 93 # 11, 13 • Reminder: Quiz #1 Tomorrow: Solving by Graphing