You can put this solution on YOUR website! What is the absolute value of |4n-5|=18?
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4n-5 = 18 or 4n-5 = -18
4n = 23 or 4n = -13
n = 23/4 or n = -13/4
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Cheers,
Stan H.
You can put this solution on YOUR website! |4n-5|=18
Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
4n-5=\(18)
Set up the + portion of the \ solution.
4n-5=18
Move all terms not containing n to the right-hand side of the equation.
4n=23
Divide each term in the equation by 4.
n=(23)/(4)
Set up the - portion of the \ solution.
4n-5=-(18)
Multiply -1 by the 18 inside the parentheses.
4n-5=-18
Since -5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides.
4n=5-18
Subtract 18 from 5 to get -13.
4n=-13
Divide each term in the equation by 4.
(4n)/(4)=-(13)/(4)
Simplify the left-hand side of the equation by canceling the common factors.
n=-(13)/(4)
The solution to the equation includes both the positive and negative portions of the solution.
n=(23)/(4),-(13)/(4)
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