1. Problem of the Day Rational: End or Repeat! Integers: Neg & Pos
Irrational: Goes on forever and doesn’t repeat!
Rational: End or Repeat!
Trick: Whole Numbers begin with a hole “o”!
Integers: Neg & Pos

2. Objective: Solving Systems of Equations
Agenda:
Steps to Solving 2 Equations Algebraically
Do on your own!
Job

3. 3 Ways to Solve Systems of Equations
Graphically
Algebraically with addition
Algebraically with substitution

4. Graphing Systems Graph both equations on a graph
See where the points cross
Answer will be the coordinate
x = , y =
4. Check by substituting in the values in the original 2 equations

5. Algebraically with Substitution
Solve for one variable in one of the equations
Substitute into 2nd equation
Solve for the 1st variable to get one value
Substitute answer in to get 2nd answer
Check answer in both!

6. Elimination: Steps to Solve
Multiply both equations so that they have the same number with one pos and one negative
Add both equations to cancel out one variable
Solve for one unknown
Substitute now known variable into one of the 2 original equations to solve for 2nd unknown
Write a sentence stating what the 2 variables are.

7. Example 1
x = y, 5x – 4y = -2
Since first equation already has x = y, then sub into 2nd equation
5(y) – 4y = -2
Solve: get y = -2
Find x: Since equal x - -2
Check by substituting into each equation

8. Example 2
5x – 2y = 4
3x + y = 9

9. Example 3
-3x + 7y = -1
-2x + 5y = 0

10. Assignment Exit Ticket Puzzle 167 Due Wednesday!
If need help stay after Tuesday & Wednesday
Exit Ticket