Chapter 9.1, Problem 11PSB

To determine

To Solve:The given equation for x

Answer to Problem 11PSB

The final values of x are $x=\frac{5}{2},10$

Explanation of Solution

Given information:The following equation has been given

  $\frac{7}{x+1}=\frac{2x+4}{3x-3}$

Calculation:To find the value of x , we first cross multiply the denominators of the equation assuming $x\ne -1,1$

Hence, we get

  $21x-21=2x^2+6x+4$

Now, we put everything on one side of the equation, hence we get

  $2x^2-15x+25=0$

Solving this quadratic equation, we get

  $x=\frac{5}{2},10$