Example of Fractional Equations:

Example:

Solve the fractional equation (3x +8)/x +5 =0

Solution:

Multiply both sides of the equation by the LCD (x).

(x) ((3x +8)/x +5) = (0) (x)

3x + 8 + 5x = 0

8x + 8  = 0

Now solve the equation such as an ordinary linear equation.

Step 1. Transpose the +8 from the left-hand to the right- hand side of the equation by changing its sign.

8x = 0 - 8

8x = -8

Step 2. Using Axiom 4, divide both sides of the equation by 8.

8x/8 = -8/8

x = -1

Step 3. Check the root.

(3(-1)+8)/-1 +5 = (-3+8)/-1 +5 = -5 + 5 =0

The root checks.