SOLUTION: what are the solutions to the absolute value equation /x+7/+5=17 ? /=absolute value bars choices: A 5 and -19 B 5 and -5 C 19 and -5 D 12 adn -5

Question 118682: what are the solutions to the absolute value equation /x+7/+5=17 ?
/=absolute value bars
choices:
A 5 and -19
B 5 and -5
C 19 and -5
D 12 adn -5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 5 from both sides.

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

or Set the expression equal to the original value 12 and it's opposite -12

Now lets focus on the first equation

Subtract 7 from both sides

Combine like terms on the right side

So our first solution is

Now lets focus on the second equation

Subtract 7 from both sides

Combine like terms on the right side

So our second solution is

So this means the answer is or which means the answer is A)

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