Transcript Linear Equations

Linear Equations
Please Read Entire Section 2.1, pages
50-55 in the text
Solution Set
Equations have two sides
• Left hand side = Right hand side
• Example: 5x-1=2x+11
x=4 is a solution
Adding a Real number to both
sides of the equation does not
change the solution set
Page 55
2-2
As an example consider
• 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
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
Properties of Equality
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