For #6x+9 = 6x + a#, what is the value of #a# such that there's infinitely many solutions?

1 Answer
Apr 12, 2018

Answer:

#9#

Explanation:

If a were any other answer, they wouldn't be equal anymore. If a were #9# however, #x# could be anything and both sides would be the same.

For example. If we put #9# for #a#, and then #1# for #x#, our equation would be #15 = 15#. This is a sort of circular equation because it is stating the obvious and not getting you anywhere, but it shows that whatever you put for #x# one side will force you to getting the same answer on the other side.

Therefore, if #a = 9#, there would be infinitely many solutions.