Question
$$\frac{4}{1}-5-(-3\cdot\frac{3}{-9}-5)\cdot1 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{4}{1}-5-(-3\cdot\frac{3}{-9}-5)\cdot1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9\cdot\frac{4}{1}-9\cdot5-9(-3\cdot\frac{3}{-9}-5)\cdot1 &= 9\cdot0&& \text{cancel out the denominators} \\[1 em]36-45-(-36) &= 0&& \text{simplify left side} \\[1 em]36-45-(-36) &= 0&& \\[1 em]27 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 27 = 0 } $ is FALSE, we conclude that the equation has no solution.
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