$$ \begin{aligned} \frac{3}{y}+\frac{7}{y} &= 2&& \text{multiply ALL terms by } \color{blue}{ y }. \\[1 em]y\cdot\frac{3}{y}+y\cdot\frac{7}{y} &= y\cdot2&& \text{cancel out the denominators} \\[1 em]3+7 &= 2y&& \text{simplify left side} \\[1 em]10 &= 2y&& \text{ swap the left and right side of the equation } \\[1 em]2y &= 10&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= \frac{10}{2}&& \\[1 em]y &= 5&& \\[1 em] \end{aligned} $$

This page was created using