Question
$$1-\frac{1}{10}-\frac{3}{10} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 1-\frac{1}{10}-\frac{3}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot1-10\cdot\frac{1}{10}-10\cdot\frac{3}{10} &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]10-1-3 &= 0&& \text{simplify left side} \\[1 em]6 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 6 = 0 } $ is FALSE, we conclude that the equation has no solution.
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