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.

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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.

Class Greeting

Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-2b Solving Systems Equations by Substitution

Objective: Students will solve real world word problems involving how to solve a system of linear equations using substitution.

Geometry Find an equation of the line with slope m = -3 and passing through the intersection of the lines 3x - 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).

Lesson Summary: Objective: Students will solve real world word problems involving how to solve a system of linear equations using substitution.

Preview of the next Lesson: Objective: Students will learn how to solve a system of linear equations using elimination.

Homework 457+458/55-67

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