1. Linear Equations Please Read Entire Section 2.1, pages 50-55 in the text

2. Solution Set

3. Equations have two sides Left hand side = Right hand side Example: 5x-1=2x+11 x=4 is a solution

4. Adding a Real number to both sides of the equation does not change the solution set 2-2Page 55

5. 5x-1=2x+11 x=4 is a solution Adding 6 to both sides yields 5x-1 + 6=2x+11 +6 x=4 is a solution The Solution does not change As an example consider

6. Multiplying by a non-zero number to both sides of the equation does not change the solution set 5x=15 X=3 3*5x=3*15 15x=45 X=3

7. Properties of Equality

8. Solving a Linear Equation in One Variable Clear Fractions- You solve an equation that does not contain fractions for ease of computation Simplify each side at every step Ensure that the variable you are solving for is on one side of the equation Solve the Equation