a.

The equation is .

                                  (The cross product)

For any fraction to equal , the numerator and denominator must be equal.

So, must equal .

                       (Subtract from each side)

                                             (Apply additive inverse property: )

If we subtract a from each side, we are left with which is impossible.

Therefore, the original equation does not have any solution.

b.

The equation is .

                                   (The cross product)

For any fraction to equal , the numerator and denominator must be equal.

So, must equal .

                        (Subtract from each side)

                                         (Apply additive inverse property: )

If we subtract from each side, we are left with , which is true only when .

                                         (Substitute: )

Therefore, the solution of the equation is .

c.

The equation is .

                                  (The cross product)

For any fraction to equal , the numerator and denominator must be equal.

So, must equal .

          (Add to each side)

                              (Apply additive inverse property: )

                                     (Add)

                                 (Divide each side by )

                                          (Cancel common terms)

If we add to each side, we are left with , which reduces to .

However, when equals , the original fraction becomes or which is undefined.

Therefore, the original equation does not have a solution.

a.The original equation does not have a solution.

b.The equation has a solution is .

c.The original equation does not have a solution.