Question

I need help with this problem: Solve for x in which the quantity plus 1 over 7 is equal to 5 over the quantity minus 1.

Answer 1

\[\frac{ x+1 }{ 7 } = \frac{ 5 }{ x }-1\]
or \[\frac{ x+1 }{ 7 } = \frac{ 5 }{ x-1 }\] ?

Answer 2

The second one.

Answer 3

okay, so that means that (x+1)(x-1) = 35
so x^2 -1 = 35
meaning that x^2 = 35+1 since you move the 1 to the other side
so x^2 = 36
so x=?

Answer 4

x=6

Answer 5

Thanks Purplerainbowcherry.

Answer 6

no problem :)