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Review: 8.2a Mini-Quiz 1. Use substitution to solve the system of equations. 2. Use substitution to solve the system of equations. 3. Use substitution to solve the system of equations.
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Class Greeting
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Chapter 8 Systems of Linear Equations and Inequalities
Lesson 8-2b Solving Systems Equations by Substitution
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Objective: Students will solve real world word problems involving how to solve a system of linear equations using substitution.
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Geometry Find an equation of the line with slope m = -3 and passing through the intersection of the lines x - y = 0 and x - 2y = 5. Write the equation, use y = mx + b. 3x - y = 0 x - 2y = 5 m = -3 and (x, y) = (-1, -3) x = 2y + 5 -3 = -3(-1) + b 3(2y +5) – y = 0 -3 = 3 + b 6y + 15 – y = 0 b = -6 5y = -15 m = -3 and b = -6 y = -3 Answer: The equation is y = -3x – 6. 3x – (-3) = 0 x = -1 So, the line with slope m = -3 passes through (-1, -3).
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Lesson Summary: Objective: Students will solve real world word problems involving how to solve a system of linear equations using substitution.
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Preview of the next Lesson: Objective: Students will learn how to solve a system of linear equations using elimination.
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Homework /55-67
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Stand Up Please
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