1. Solving Systems of Equations Using Algebra Revisited

2. There Are Two Methods for Solving Algebraically
Substitution: Substitute for one of the variables
Elimination: Eliminate one of the variables

3. Substitution Must be in the form y = or x =
Substitute the x or y value into the other equation and solve for the remaining variable.
Finally, substitute the value found into either equation
Write final answer as a coordinate point.

4. Elimination Equations must be in standard form ax + by = c
Multiply one or both equations to get a common coefficient for one variable in both equations
Add or subtract the equations to eliminate a variable.
Solve for the remaining variable
Substitute that value into either of the original equations
Write the solution as a coordinate point

5. Example - Substitution
3y - 2x = 11
y + 2x = 9

6. Example - Elimination
3y - 2x = 11
y + 2x = 9

7. Shoulder partner A will solve by substitution, partner B will solve by elimination
2x – 3y = –2
4x + y = 24

8. Shoulder partner A will solve by elimination, partner B will solve by substitution
3x + 5y = 10
y = x + 2

9. Write the Equation Together
Suppose you bought supplies for a party. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers and 4 party hats for $11. How much did each roll of streamers cost? How much did each party hat cost?
Partner A solves by substitution, partner B solves by elimination

10. Write the Equation Together
At The Apple Pan, 4 burgers and 3 fries cost $ burgers and 5 fries cost $ What is the cost for each item?
Partner A solves by elimination, partner B solves by substitution

11. Solve Using Your Method of Choice
On December 13th, versus the Washington Wizards, Shaquille O’Neal scored his season high in points, 40. His 40 points were scored all on free throws and two‐point baskets. He made a total of 25 shots. How many two‐points baskets did Shaq make? Define variables, write and solve algebraic equations, and state the final answer in a complete sentence.

12. Solve Using Your Method of Choice
At McDonald’s four cheeseburgers and three medium fries have a total of 2290 calories. Six cheeseburgers and two medium fries have 2560 calories. How many calories does each item contain?