SOLUTION: Solve |7x - 4| = 10. Be sure to list all answers together. SHOW ALL WORK THANK YOU

Question 118913: Solve |7x - 4| = 10. Be sure to list all answers together.
SHOW ALL WORK
THANK YOU

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 10 and it's opposite -10

Now lets focus on the first equation

Add 4 to both sides

Combine like terms on the right side

Divide both sides by 7 to isolate x

Reduce

Now lets focus on the second equation

Add 4 to both sides

Combine like terms on the right side

Divide both sides by 7 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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