Question

Solve Proportions

$\frac{q-2}{2}=\frac{2q-7}{18}$

Short answer

Ans:$\frac{q-2}{2}=\frac{2q-7}{18}\Rightarrow q=\frac{11}{7}$

Step-by-step solution

Step 1. Given information

given$\frac{q-2}{2}=\frac{2q-7}{18}$

Step 2. Simplify

$$\begin{gathered} \frac{q-2}{2}=\frac{2q-7}{18} \\ \Rightarrow 18q-36=4p-14 \\ \Rightarrow 14q=22 \\ \Rightarrow q=\frac{11}{7} \end{gathered}$$

Step 3. Check

check, $q=\frac{11}{7}$in the original proportion.

$$\begin{gathered} \frac{q-2}{2}=\frac{2q-7}{18} \\ \Rightarrow \frac{{\displaystyle \frac{11}{7}-2}}{2}=\frac{2\times {\displaystyle \frac{11}{7}}-7}{18} \\ \Rightarrow -0.214=-0.214 \end{gathered}$$