Question

Solve for 3/7y-1/2 whole divided by y-1/4-3/14=1/7

Answer 1

$$\begin{gathered} \frac{{\displaystyle \frac{3\mathrm{y}}{7}}-{\displaystyle \frac{1}{2}}}{\mathrm{y}-{\displaystyle \frac{1}{4}}-{\displaystyle \frac{3}{4}}}=\frac{1}{7} \\ \Rightarrow \frac{{\displaystyle \frac{6\mathrm{y}-7}{14}}}{{\displaystyle \frac{4\mathrm{y}-1-3}{4}}}=\frac{1}{7} \\ \Rightarrow \frac{6\mathrm{y}-7}{14}\times \frac{4}{4\mathrm{y}-4}=\frac{1}{7} \\ \Rightarrow \frac{6\mathrm{y}-7}{14}\times \frac{1}{\mathrm{y}-1}=\frac{1}{7} \\ \Rightarrow \frac{6\mathrm{y}-7}{\mathrm{y}-1}=2 \\ \Rightarrow 6\mathrm{y}-7=2\mathrm{y}-2 \\ \Rightarrow 6\mathrm{y}-2\mathrm{y}=-2+7 \\ \Rightarrow 4\mathrm{y}=5 \\ \Rightarrow \mathrm{y}=\frac{5}{4} \end{gathered}$$