SUMMARY
The equation x/(0.12 + x) = 1/3 can be solved by multiplying both sides by the denominator (0.12 + x). The solution is confirmed by substituting x = 0.6, which simplifies the equation to 0.6/(0.12 + 0.6) = 1/3. This method provides a straightforward approach to solving the equation without complex manipulations.
PREREQUISITES
- Understanding of basic algebraic equations
- Familiarity with solving rational equations
- Knowledge of substitution methods in algebra
- Ability to manipulate fractions and denominators
NEXT STEPS
- Study methods for solving rational equations in algebra
- Learn about the properties of fractions and their simplifications
- Explore techniques for verifying solutions in algebraic equations
- Practice solving similar equations with different coefficients
USEFUL FOR
Students learning algebra, educators teaching rational equations, and anyone seeking to improve their problem-solving skills in mathematics.