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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
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 Ineq. #4:

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# Multiplication Property of Equality

General equation: Ax + B = C x + D (A, B, C, D are real numbers.).

More often the equations have constants that are a mixture of fractions and integers. Generally, it is better to multiply the equation by the LCD to clear the fractions.

i) Simplify the equation so that there are only integers on both sides

ii) Then solve simplified equations vertically - using the balance beam.

Example 1:

 Solve Multiply LCD: Solve vertically: Add Opps: Check:

General equation: Ax + B = C x + D (A, B, C, D are rational numbers.).

i) Simplify the equation so that there are only integers on both sides

ii) Then solve simplified equations vertically - using the balance beam.

Example 2:

 Solve Multiply LCD: Solve vertically: 1) Add Opps: Complete the step: 2) Multiply recip: Since Then Check: Note that   is correct.