Use your solving skills to complete parts (a) and (b) below.

1. Solve $\frac { x + 3 } { x - 1 } - \frac { x } { x + 1 } = \frac { 8 } { x ^ { 2 } - 1 }$ for $x$.

   Hint (a):

   Multiply both sides by $\left(x − 1\right)\left(x + 1\right)$.

2. In part (a), the result of solving the equation is $x = 1$, but what happens when you substitute $1$ for $x$? What does this mean in relation to the solutions for this equation?

   Answer (b):

   The equation has no solution.