Question
$$-\frac{7}{3}\cdot\frac{5}{4} = -\frac{21}{3}\cdot\frac{5}{4}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -\frac{7}{3}\cdot\frac{5}{4} &= -\frac{21}{3}\cdot\frac{5}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12 \cdot \frac{7}{3}\cdot\frac{5}{4} &= -12 \cdot \frac{21}{3}\cdot\frac{5}{4}&& \text{cancel out the denominators} \\[1 em]-35 &= -105&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -35 = -105 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver