AlgebraII Linear and Absolute Value Functions
Solving Linear Equations Concepts 1

|  |  | Definition |  |
. |
An equation of the form where a and b are real numbers, is called a linear equation.

Example 1. Solve 2·x + 7 = 0.

Solution

2·x + 7 = 0 | Write the equation.
2·x = -7 | Add (-7).
| Divide by 2.
| Simplify fraction.

Answer: .

Example 2. Solve 3·x + 2 = 5·x + 7.

Solution

3·x + 2 = 5·x + 7 | Write the equation.
3·x + 2 - 2 = 5·x + 7 - 2 3·x = 5·x + 5 | Add (-2).
3·x - 5·x = 5·x + 5 - 5·x -2·x = 5 | Add (-5·x).
| Divide by (-2).
| Simplify fraction.

Answer: .

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