Algebra
LINEAR EQUATIONS
Example 1:
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 like 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.
Rev. 0
Page 11
MA-02
