SOLUTION: Help with absolute value equations. Thanks Absolute value[5x]+9=19

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Question 184135: Help with absolute value equations. Thanks
Absolute value[5x]+9=19
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!

abs%285x%29%2B9=19 Start with the given equation


abs%285x%29=10 Subtract 9 from both sides.


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

5x=-10 or 5x=10 Set the expression 5x equal to the original value 10 and it's opposite -10




Now lets focus on the first equation 5x=-10


x=%28-10%29%2F%285%29 Divide both sides by 5 to isolate x



x=-2 Divide






Now lets focus on the second equation 5x=10



x=%2810%29%2F%285%29 Divide both sides by 5 to isolate x



x=2 Divide





So the solutions are: x=-2 or x=2