1. Review: 8.5b Mini-Quiz
A person plans to invest up to $10,000 in two different interest-bearing accounts, account X and account Y. Account Y is to contain at most $3000. Moreover, account X should have at least three times the amount in account Y. Write a system of linear inequalities describing the various amounts that can be deposited in each account, and sketch the graph of the system.

2. Class Greeting

3. Chapter 8 Systems of Linear Equations and Inequalities
Lesson 8-2a
Solving Systems Equations by Substitution

4. Objective: Students will learn how to solve a system of linear equations using substitution.

5. 16y – y = 75 Use substitution to solve the system of equations.
Since substitute 4y for x in the second equation.
Use to find the value of x.
16y – y = 75
since
Answer: The solution is (x,y) = (20, 5).
Example 2-1a

6. Answer: The solution is (x,y) = (5, –8).
Use substitution to solve the system of equations.
Find the value of x by substituting
for y in the second equation.
Substitute 5 for x to find the value of y.
y = 12 – 4(5)
y = 12 – 20
Answer: The solution is (x,y) = (5, –8).
Example 2-2a

7. Use substitution to solve the system of equations.
Solve the second equation for y.
Substitute for y in the first equation.
False
Answer: no solution
Example 2-3a

8. Use substitution to solve the system of equations.
Answer: (1, 2)
Example 2-1b

9. Use substitution to solve the system of equations.
Answer: (–3, 2)
Example 2-2b

10. Use substitution to solve the system of equations.
Answer: infinitely many solutions
Example 2-3b

11. Lesson Summary: Objective: Students will learn how to solve a system of linear equations using substitution.

12. Preview of the next Lesson: Objective: Students will solve real world word problems using substitution to solve a system of linear equations.

13. Homework
/29-37 odd

14. Stand Up Please