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.

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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.

Class Greeting

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

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

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

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

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

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

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

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

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

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

Homework 455+456/29-37 odd

Stand Up Please