Question
$$\frac{25}{6}+\frac{71}{3} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{25}{6}+\frac{71}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{25}{6}+6\cdot\frac{71}{3} &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]25+142 &= 0&& \text{simplify left side} \\[1 em]167 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 167 = 0 } $ is FALSE, we conclude that the equation has no solution.
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