SOLUTION: 4/x-7/=40

Question 69376: 4/x-7/=40
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
4/x-7/=40
To do this you first isolate the absolute value:

Then you realize that the inside of the absolute value can = -10 or +10 because when you take the absolute value of something it's always positve, so you have two problems to solve:
x-7=10 or x-7=-10
x-7+7=10+7 or x-7+7=-10+7
or
To check your answers, let x=17 and -3 and see if the equation equals out in both cases.
4|17-7|=40 or 4|-3-7|=40
4|10|=40 or 4|-10|=40
4(10)=40 or 4(10)=40
40=40 or 40=40 We're right!!!
Happy Calculating!!!
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