Question

9|9-8x|=2x+3
Please explain the steps to completing.
I will medal and fan!

Answer 1

@satellite73

Answer 2

you have to solve two equations i think

Answer 3

for \(x>\frac{9}{8}\) this is the same as \[9(9-8x)=2x+3\]

Answer 4

oh maybe i just screwed that up
lets make it easiery

Answer 5

\[|9-8x|=|8x-9|\] so we can start with
\[9|8x-9|=2x+3\]

Answer 6

now if \(x>\frac{9}{8}\) that is the same as
\[9(8x-9)=2x+3\] which i guess you can solve

Answer 7

it is ugly, but you should get \(x=\frac{6}{5}\) i think

Answer 8

I'm still confused

Answer 9

lets back up and go slow

Answer 10

is this line \[|9-8x|=|8x-9|\] clear?

Answer 11

yes

Answer 12

ok now \(|8x-9|\) is one of two things
if \(x>
\frac{9}{8}\) then \(8x-9>0\) and if \(8x-9>0\) then \(|8x-9|=8x-9\) because it is positive

Answer 13

clear or not ?

Answer 14

clear

Answer 15

so if \(x>\frac{9}{8}\) you can go ahead and solve \[9(8x-9)=2x+3\]

Answer 16

that takes a bit of algebra, but i assume it is doable

Answer 17

if not, let me know

Answer 18

I don't know how to solve it @satellite73

Answer 19

multiply out and get \[72x-81=2x+3\]

Answer 20

Do i combine like terms now?

Answer 21

subtract \(2x\) get \[70x-81=3\] then add \(81\) to get
\[70x=84\] and finally divide by \(70\) to get
\[x=\frac{84}{70}=\frac{6}{5}\]

Answer 22

ooooooohhhhh ok thank you so much again!!!!