Answer:
A = 2
Step-by-step explanation:
When there are no solutions for x, both sides x cancel leaving an equation with two distinct numbers equal to each other (e.g. 6 = 0). Therefore, we must find a number A for which that happens.
Lets first simplify the equation, 3Ax - 24 = 5x - 9 + x = 6x - 9.
We want to cancel out the 6x on both sides. This happens when the left side also has 6x, so 3Ax = 6x -> A = 2.
Testing out this works, we get:
6x - 24 = 6x - 9 -> -24 = -9 (which isn’t true)
We get no solutions, which is what we are looking for! Therefore, A = 2 must be our answer!
I hope this helps! :)
