Question

$\frac{7u-1}{4}-1=\frac{4u+8}{5}$

Short answer

The value of$u=3$

Step-by-step solution

- The given information

$\frac{7u-1}{4}-1=\frac{4u+8}{5}$

Step 2

$$\begin{gathered} \frac{7u-1}{4}-1=\frac{4u+8}{5} \\ \Rightarrow \frac{7u-1}{4}-\frac{4u+8}{5}=1 \\ \Rightarrow \frac{5(7u-1)-4(4u+8)}{20}=1 \\ \Rightarrow \frac{35u-5-16u-32}{20}=1 \\ \Rightarrow 19u-37=20 \\ \Rightarrow 19u=57 \\ \Rightarrow u=3 \end{gathered}$$