1. 2
Chapter
Chapter 2
Equations, Inequalities and Problem Solving

2. Solving Linear Equations
Section
2.3
Solving Linear Equations

3. Applying a General Strategy for Solving a Linear Equation
Objective 1
Applying a General Strategy for Solving a Linear Equation

4. Solving Linear Equations

5. Example
Solve: 7(x – 3) = 9x – 7
Objective A

6. Example
Solve: 17 – x + 3 = 15 – (–6)
Objective A

7. Solving Equations Containing Fractions
Objective 2
Solving Equations Containing Fractions

8. Example
Solve:
Objective A

9. Example
Solve:

10. Solving Equations Containing Decimals
Objective 3
Solving Equations Containing Decimals

11. Example Solve: 0.25x + 0.10(x – 3) = 0.05(22) 25x + 10(x – 3) = 5(22)

12. Recognizing Identities and Equations with No Solution
Objective 4
Recognizing Identities and Equations with No Solution

13. Example Solve: 3x – 7 = 3(x + 1) 3x – 7 = 3(x + 1) 3x – 7 = 3x + 3
–7 = 3
Since no value for the variable x can be substituted into this equation that will make this a true statement, there is “no solution.”

14. Example Solve: 5x – 5 = 2(x + 1) + 3x – 7 5x – 5 = 2(x + 1) + 3x – 7
Both sides of the equation are identical. Since this equation will be true for every x that is substituted into the equation, the solution is “all real numbers.”