Question
$$\frac{41}{5}-\frac{35}{6} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{41}{5}-\frac{35}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30\cdot\frac{41}{5}-30\cdot\frac{35}{6} &= 30\cdot0&& \text{cancel out the denominators} \\[1 em]246-175 &= 0&& \text{simplify left side} \\[1 em]71 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 71 = 0 } $ is FALSE, we conclude that the equation has no solution.
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