Solving Rational Equations Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Solve 10x=5\frac{10}{x} = 5.

Solution

  1. 1
    Multiply both sides by xx: 10=5x10 = 5x, so x=2x = 2.
  2. 2
    Check: 102=5\frac{10}{2} = 5 ✓

Answer

x=2x = 2
The simplest rational equation — multiply both sides by the variable denominator to clear the fraction, then solve the resulting linear equation.

About Solving Rational Equations

Solving equations that contain rational expressions by multiplying every term by the LCD to clear all denominators, solving the resulting polynomial equation, and checking for extraneous solutions.

Learn more about Solving Rational Equations →

More Solving Rational Equations Examples

Example 1 medium

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Example 2 hard

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Example 4 medium

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