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- anonymous

Absolute Value Equations
5n-3=|n+9|
I got 3 and -1 I keep plugging in -1 but it gives me positive 8 and not negative. Help?

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- anonymous

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- marigirl

If you are trying to find the point of intersection (i.e which point do both of these equations meet)
then n=3 is your only solution because the absolute function will not intersect at a negative axis..

- marigirl

using n=3 you can obtain your coordinate of the point of intersection

- anonymous

I'm supposed to solve each equation. Whatever the n is should match up if you plug them in.

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- marigirl

right i got it, so then at n=3 it intersects (3,12)
also at n=-1 it intersects (-1,8)

- marigirl

do the answers given to you show a negative 8 ? is that the question

- anonymous

5(3)-3 is 12. 3+9 is 12. Good.
5(-1)-3 is -8. |-1+9| is 8.

- anonymous

@marigirl is correct. n = 3 is the only solution because n = -1 is an extraneous (fake) solution.

- marigirl

but that function we did - (5n-3) so then that becomes
-5n+3

- anonymous

yes but the -1 is supposed to be substituted into the original equation to check the result. When you do that you get 8 on one side an -8 on the other, so -1 doesn't work for this equation

- triciaal

|dw:1440734476898:dw|

- triciaal

the absolute value means only use the positive value

- triciaal

is the original function -(5n-3) ?

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