How do you solve 6x+5=53 and find any extraneous solutions?

1 Answer
Sep 25, 2016

x=8

Explanation:

First, we need to square both sides of the equation so that we can easily work with it.

6x+52=532

Doing this will turn the equation into something much more simple.

6x+5=53

Next, we subtract 5 from both sides.

6x=48

Then, we divide both sides of the equation by 6.

x=8

In order to determine whether or not x=8 is extraneous, we need to plug it into the original equation.

6x+5=53
6(8)+5=53
48+5=53
53=53

Since the statement that resulted in plugging in x=8 is true, we can confirm that x=8 is not an extraneous solution.