SUMMARY
The equation 3z/2 = z/6 + 4 is solved by first multiplying both sides by 6, resulting in 9z = z + 24. Simplifying this leads to 8z = 24, which gives the solution z = 3. The initial approach of multiplying by 2 and incorrectly handling the constant was identified as a mistake. The correct method avoids unnecessary cross-multiplication.
PREREQUISITES
- Understanding of basic algebraic operations
- Familiarity with solving linear equations
- Knowledge of multiplying equations by constants
- Ability to simplify algebraic expressions
NEXT STEPS
- Study techniques for solving linear equations with multiple terms
- Learn about the properties of equality in algebra
- Explore methods for simplifying complex algebraic expressions
- Practice solving equations with variables on both sides
USEFUL FOR
Students learning algebra, educators teaching mathematics, and anyone looking to improve their problem-solving skills in algebraic equations.