9. $\frac{5}{2}=\frac{v - 8}{v - 2}$

Explanation:

Step1: Cross - multiply

$5(v - 2)=2(v - 8)$

Step2: Expand both sides

$5v-10 = 2v-16$

Step3: Move like terms to one side

$5v - 2v=-16 + 10$

Step4: Simplify both sides

$3v=-6$

Step5: Solve for v

$v=\frac{-6}{3}=-2$

Answer:

$v = - 2$