Subjects algebra

Solve Fractional Equation

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Solve Fractional Equation


1. **Stating the problem:** Solve the equation $\frac{k+k}{k} = 6$ for $k$. 2. **Simplify the numerator:** $k+k = 2k$, so the equation becomes $\frac{2k}{k} = 6$. 3. **Simplify the fraction:** Since $k \neq 0$, $\frac{2k}{k} = 2$. 4. **Set the simplified expression equal to 6:** $2 = 6$. 5. **Check for consistency:** The equation $2 = 6$ is false, meaning there is no value of $k$ that satisfies the original equation except where division by zero is undefined. **Final answer:** No solution for $k$ because the simplification leads to a contradiction.