Question

Solve for x in the proportion 9/27x=6/x-1 .

x = 2 and x = 0

x ≈ −2.48 and x ≈ 2.48

x ≈ −0.85 and x ≈ 1.18

x ≈ −6 and x ≈ 6.16

Answer 1

The equation is

\[\frac{9}{27x} = \frac{6}{x-1}\]

right?

Answer 2

Yes

Answer 3

It should be. To solve the equation, cross multiply.

Answer 4

\[\large \frac{9}{27x} = \frac{6}{x-1}\]

turns into

\[\large 9(x-1) = 6*27x\]

after you cross multiply

what's next?

Answer 5

Oh. How do you make the font bigger? @jim_thompson5910

Answer 6

by sticking a \large at the front of the code

Answer 7

@jim_thompson5910 Distibutive property?

Answer 8

Oh thanks.

Answer 9

correct

Answer 10

Yes, Caitlynn. You use the distributive property for the left side.

Answer 11

So itll come out to 9x-9=6*27x?
What do i do next?

Answer 12

Simplify the right side.

Answer 13

9x-9=162x?

Answer 14

Correct.

Answer 15

What would i do next?

Answer 16

You can guess and check. :D

Answer 17

Do i divide the 162x by 9x which would equal 18x
So id have -9=18x.
take the 18 divide it by -9
x=-2?

Answer 18

Yes you can do that as well.

Answer 19

wait thats not an answer... I'm confused now.

Answer 20

Ask @jim_thompson5910 He's the expert.

Answer 21

Okay.

Answer 22

there has to be a typo in the original problem

this is a linear equation with one solution (not 2)

Answer 23

but each answer choice lists two answers

Answer 24

I thought so too.

Answer 25

Solve for x in the proportion .

x = 2 and x = 0

x ≈ −2.48 and x ≈ 2.48

x ≈ −0.85 and x ≈ 1.18

x ≈ −6 and x ≈ 6.16

Answer 26

That's the original problem?

Answer 27

Yes.

Answer 28

No wonder. You typed it wrong.

Answer 29

\[\large\large\frac{ 9 }{ 27x } = \frac{ x }{ x+3 }\]

Answer 30

So review what Jim and I taught you.

Answer 31

I shall rewind this. You can cross multiply. After cross multiplying, it should end up:
9(x+3) = 27x(x)
Use the distributive property on the left to get:
9x+27
Simplify the one in the right:
\[\large27x^2\] Now your equation should look like:
9x+27 = 27x^2.

Answer 32

okay i got that. so divide 27x^2 by 9x?

Answer 33

so would that be 3x?

Answer 34

Yes.

Answer 35

after that i get 9. But thats not an answer so im stuck now

Answer 36

After that, it should give you 27 = 3x.

Answer 37

Hmm... Let me check my work.

Answer 38

Okay.

Answer 39

@jim_thompson5910 Check my work please. I think I did something wrong. T~T

Answer 40

I used a calc. It's suppose to be C, but I don't know what I did wrong. =/

Answer 41

oh. okay. its fine though.