Final answer:
The addition property of equations is not necessary for solving equations with fractional coefficients. Instead, the goal is to clear the equation of the fractional coefficients and isolate the variable by performing operations.
Step-by-step explanation:
The addition property of equations is not necessary for solving equations with fractional coefficients. The addition property of equations states that if we add the same number to both sides of an equation, the equation will remain true. However, when solving equations with fractional coefficients, the goal is to isolate the variable by performing operations that will cancel out the fractional coefficients.
Here's a step-by-step explanation:
- Identify the equation with fractional coefficients.
- Clear the equation of the fractional coefficients by multiplying both sides of the equation by the least common multiple (LCM) of the denominators.
- Simplify the equation by multiplying and combining like terms.
- Continue solving the resulting equation using inverse operations to isolate the variable.
- Check the solution by substituting it back into the original equation to ensure it satisfies the equation.