For what number A does the equation 3Ax - 24 = 5x - 9 + x have no solutions for x?
3Ax - 24 = 5x - 9 + x simplify the right side
3Ax - 24 = 6x - 9
This will have no solution when 3A = 6 ⇒ A = 2
To see why this is so....
3(2)x - 24 = 6x - 24 and this can never equal 6x - 9
