1. 3.2 (day 1) Solving Systems Algebraically
Objective: To solve linear systems of equations using the substitution method.

2. In preparation for the annual Academic Banquet, Mrs
In preparation for the annual Academic Banquet, Mrs. Plesniak and the IHS student council must plan out the number and types of tables needed to accommodate 200 honorees and guests. Rectangular tables can seat 8 people and round tables can seat 6 people. They can afford to rent 30 tables. How many of each table should they rent for the banquet?

3. Steps for Substitution
Solve one equation for one of the variables
Substitute expression into other equation
Solve
Substitute answer into first equation
Write your answer as an ordered pair

4. Example 1
2𝑥−3𝑦=6 𝑥+𝑦=−12

5. Example 2
3𝑥−𝑦=0 4𝑥+3𝑦=26

6. Example 3
𝑥+3𝑦=12 −2𝑥+4𝑦=9

7. Questions
What do you think you would get as an answer if there were no solutions?
What do you think you would get as an answer if there were infinite solutions?

8. Homework
Page 126 #1-12, 52,54