11 2.4 Fractional Linear Equations
When working with fractions built into linear equations, it is often easiest to remove the fraction in the very first step. This generally means finding the LCD of the fraction and then multiplying every term in the entire equation by the LCD.
Example 2.4.1
Solve for in the equation
For this equation, the LCD is 12, so every term in this equation will be multiplied by 12.
Cancelling out the denominator yields:
Multiplying results in:
Example 2.4.2
Questions
For questions 1 to 18, solve each linear equation.