Question

Help me work out this problem. I think I'm doing something wrong. 9|9-8x|=2x+3

Answer 1

I solved for the equations 9(-9+8x)=2x+3 and 9(9-8x)=2x+3 and got x=14 and x=13 but I don't think that's right...

Answer 2

You are given:\[9|9-8x|=2x+3\]which means:\[|9-8x|=\frac{2x+3}{9}\]agreed so far?

Answer 3

yeah

Answer 4

ok, now suppose you were told that:\[|y|=7\]what does that tell you about y?

Answer 5

Umm I don't know?

Answer 6

what values could y take on to satisfy this?

Answer 7

-7 or 7

Answer 8

perfect

Answer 9

so we have:\[|9-8x|=\frac{2x+3}{9}\]which tells us:\[9-8x=\frac{2x+3}{9}\]or:\[9-8x=-\frac{2x+3}{9}\]make sense now?

Answer 10

Yeah it does, thank you

Answer 11

yw :)

Answer 12

I still think I'm doing something wrong. Will you work them out with me? @asnaseer

Answer 13

Please list your steps so that I can spot where you may have made a mistake

Answer 14

the first step would be to get rid of the fractions by multiplying both sides by 9 to get these two equations to solve:\[81-72x=2x+3\tag{1}\]\[81-72x=-2x-3\tag{2}\]

Answer 15

9-8x=2x+3/9
9-6x=3/9
-6x=-84/9
x=14/9 for the first one

Answer 16

that is not correct

Answer 17

it is NOT:
9-8x=2x+3/9
BUT this:
9-8x=(2x+3)/9

Answer 18

so what should my first step be?

Answer 19

see what I typed above ^^^

Answer 20

where I said "the first step would be to get rid of the fractions..."

Answer 21

lets just look at the first one...

Answer 22

okay, that's where I was getting confused so I'll go try to work them out now and if you're still online will you check them?