1. 7.2 Solving Systems of Equations Algebraically1
Solve by Substitution 2
Examples 3
Practice Problems

2. Definitions System of Equations Consistent System Inconsistent System
2 or more equations on the same coordinate system
Consistent System
Graph of equations cross each other (not parallel)
System has a solution
Slope is different
Inconsistent System
Graph of equations do not cross each other (parallel)
System does not have a solution
Slope is the same

3. Consistent System
Has a solution at (1,2)
(1,2)

4. Inconsistent System
No Solution

5. Solve by Substitution Steps Solve for x in the first equation
Substitute the answer in for x in the second equation
Solve for y
Substitute the value of y into either of the original equations
Solve for x
Take the value of x and y and put them in ordered pair form (x,y)

6. Solve by Substitution Example

7. Solve by Substitution Example (Cont.)

8. Practice Problems
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Problems 11-27