Question
$$\frac{4}{7}-\frac{3}{10} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{4}{7}-\frac{3}{10} &= 0&& \text{multiply ALL terms by } \color{blue}{ 70 }. \\[1 em]70\cdot\frac{4}{7}-70\cdot\frac{3}{10} &= 70\cdot0&& \text{cancel out the denominators} \\[1 em]40-21 &= 0&& \text{simplify left side} \\[1 em]19 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 19 = 0 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver