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## Unit 1 Solving Linear Systems by Substitution

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**Unit 1Solving Linear Systems by Substitution**Learning Goal: I can solve a system of linear equations algebraically, using the method of substitution**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?**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**Homework**• Pg. 92-93 # 7, 8, 12 a,e • Pg. 93 # 11, 13 • Reminder: Quiz #1 Tomorrow: Solving by Graphing