Determine whether each solution is correct. If the solution is not correct, describe the error and give the correct solution.

a.

The equation is .

This is incorrect because the must be distributed over both  and .

                         (Original equation)

                         (Distributive property: )

         (Subtract from each side)

                                 (Apply additive inverse property: )

                            (Divide each side by )

                                     (Cancel common terms)

The correct answer is .

b.

The equation is .

This is correct.

                        (Original equation)

       (Subtract from each side)

                             (Apply additive inverse property : )

                        (Divide each side by )

                                     (Cancel common terms)

c.

The equation is .

This is incorrect.

Here Subtract from each side but add to each side.

                      (Original equation)

     (Add to each side)

                              (Apply additive inverse property : )

                         (Divide each side by )

                                     (Cancel common terms)

Therefore, the correct answer is .

The solution is correct for equation (b).