SOLUTION: What is the complete solution to the equation /3-6x/=15?

Question 142050: What is the complete solution to the equation /3-6x/=15?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 15 and it's opposite -15

Now lets focus on the first equation

Subtract 3 from both sides

Combine like terms on the right side

Divide both sides by -6 to isolate x

Divide

Now lets focus on the second equation

Subtract 3 from both sides

Combine like terms on the right side

Divide both sides by -6 to isolate x

Divide

So the solutions to are:

and

Notice if we graph and (just set each side equal to y and graph), we get

Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.

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