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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