The coordinates of △DEF are D(4,2), E(3,3), and F(2,1). Write a rule for the translation of △DEF to △D′E′F′, so that the centroid of △D′E′F′ is (6,6).

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

cutt.ly/wzUiVyK

There is no value of 'a' that makes the equation true. 
In other words, the equation has no solution.

Here's how you can tell:

                                           (1/a + 2)  =  (1/a) + (1/2)

Eliminate parentheses:      1/a + 2  =  1/a   +   1/2

Subtract  1/a  from
each side:                                      2  =                1/2

Is there any value of  'a'  that can make  2 = 1/2 ?
I can't think of one.
So the equation has no solution.