6-2 solving systems using substitution

1. 6-2 solving systems using substitution Miss battaglia – algebra 1 CP Objective: solving systems of linear equations by substitution.

2. Warm up • Solve each equation for the given variable. • 1) x – y = 3; y 2) x = 4y; x

3. Solving systems with one solution • Substitution allows you to create a one-variable equation. • Solve the system using substitution. • y = x + 6.1 • y = - 2x – 1.4

4. Solving systems with one solution • Solve the system using substitution. • y = 2x + 1 • y = x + 3

5. Solving systems with one solution • Solve the system using substitution. • x + y = 6 • x = -3y

6. transportation • A class is going on a school trip. There are 22 people going. There are 4 drivers and 2 types of vehicles (vans & cars). The vans fit 6 people and the cars fit 4 including drivers. How many vans & cars does the class need for the trip?

7. example • Solve the system using substitution. • x + y = 6 • 5x + 5y = 10

8. Without using substitution, decide whether each system has no solution or infinitely many solutions. (Hint: Write each equation in slope-intercept form and compare). • 3x – y = -2 b. 3x + y = 5 • y = 3x + 2 6x + 2y = 1

9. homework • Pg278 # 11 – 16