Question

Solve for v.v+2/v-1 =v-2/v+3

Answer 1

Given the equation below.

`(v+2)/(v-1)=(v-2)/(v+3)`

Cross Multiply

`\begin{gathered} (v+2)(v+3)=(v-2)(v-1) \\ v^2+3v+2v+6=v^2-v-2v+2 \end{gathered}`
`v^2+5v+6=v^2-3v+2`
`\begin{gathered} collect\text{ like terms} \\ v^2-v^2+5v+3v=2-6 \\ 8v=-4 \\ v=-(4)/(8)=-(1)/(2) \end{gathered}`

Hence, the value for v = -1/2