Linear Equations

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-12x11
• x4 is a solution

4
Adding a Real number to both sides of the
equation does not change the solution set
2-2
Page 55
5
As an example consider

• 5x-12x11
• x4 is a solution
• Adding 6 to both sides yields
• 5x-1 62x11 6
• x4 is a solution
• The Solution does not change

6
Multiplying by a non-zero number to both sides of
the equation does not change the solution set

• 5x15
• X3
• 35x315
• 15x45
• X3

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