Question
$$\frac{49}{2}\cdot22 = \frac{73}{4}\cdot47$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{49}{2}\cdot22 &= \frac{73}{4}\cdot47&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{49}{2}\cdot22 &= 4 \cdot \frac{73}{4}\cdot47&& \text{cancel out the denominators} \\[1 em]2156 &= 3431&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 2156 = 3431 } $ is FALSE, we conclude that the equation has no solution.
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