Answer:
a = 2
Step-by-step explanation:
Given
6x - 9 = a(3x + 2)
If the coefficient of the x- term on the right side is 6 then the equation will have no solution, that is if a = 2, then
6x - 9 = 2(3x + 2) = 6x + 4 ( add 9 to both sides )
6x = 6x + 13 ( subtract 6x from both sides )
0 = 13 ← not possible
Thus equation has no solution when a = 2
