Question
$$13-\frac{47}{4} = \frac{5}{4}$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 13-\frac{47}{4} &= \frac{5}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot13-4\cdot\frac{47}{4} &= 4\cdot\frac{5}{4}&& \text{cancel out the denominators} \\[1 em]52-47 &= 5&& \text{simplify left side} \\[1 em]5 &= 5&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 5 = 5 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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