Solve linear equations involving simple algebraic fractions (VCMNA340)
LO: To solve linear equations involving simple algebraic fractions.
Know:
 What a linear equation is.
 What an “=” sign means.
 To add fractions with different denominators.
 To collect like terms.
 To perform the 4 operations with algebraic expressions.
Understand:
 That linear equations have to be balanced on both sides and the process of solving linear equations is to find the missing value that balances both sides of the equation.
Do:
 I can solve simple linear equations with simple algebraic fractions.
Solving Linear Equations with Algebraic Fractions
When solving linear equations with algebraic fractions, it’s very similar to solving linear equations.
In the most basic scenario (algebraic expressions with the same denominator), you just have to add the algebraic expressions as you would with adding fractions with the same denominator.
When solving linear equations with algebraic fractions, it’s very similar to solving linear equations.
In more complex scenarios (algebraic expressions with the different denominator), you would do the same actions as you would with adding fractions with different denominators.
First you would need to find a common denominator between the 2 denominators, then convert both expressions so that they have the same denominator. Then you solve the equation.
Flowchart Method/Backtracking Method
Balance Model/Method
Steps To Solve Linear Equations with Algebraic Fractions

Identify the LCD of all terms in the equation.

Multiply each term by the LCD and simplify.

Solve the resulting equation.