What is x-9 over 3x+9 = 5/6?

Question

umm · Answer

Does your question look like this?
$$\frac{ x-9 }{ 3x+9 }=\frac{ 5 }{ 6 }$$

MiaTatem23 · Answer

@umm wrote:

Does your question look like this? $$\frac{ x-9 }{ 3x+9 }=\frac{ 5 }{ 6 }$$

Yes

umm · Answer

Alright, what are we trying to figure out? If the value is true or not?

MiaTatem23 · Answer

@umm wrote:

Alright, what are we trying to figure out? If the value is true or not?

I think so

MiaTatem23 · Answer

I'm rusty as hell

umm · Answer

Do you happen to have a screenshot of your math problem? Just want to double check. You can take a screen capture and it'd copy it, so ctrl + v would paste it here.

umm · Answer

Yes. Does it have answer choices, or explain further than that?
I know how to help, I'm just trying to figure out if that's all we need to do is prove that's our answer or not.

MiaTatem23 · Answer

attachment

MiaTatem23 · Answer

god finally

MiaTatem23 · Answer

@umm wrote:

Yes. Does it have answer choices, or explain further than that? I know how to help, I'm just trying to figure out if that's all we need to do is prove that's our answer or not.

I'm supposed to remember from lesson 48 but that was last year so idk

Extrinix · Answer

@umm it's solving for linear proportions.

Extrinix · Answer

I had a very similar question about an hour ago.

umm · Answer

@extrinix wrote:

@umm it's solving for linear proportions.

Thank you, I figured.

umm · Answer

Alright, let's get started.

Given: $$\frac{ x-9 }{ 3x+9 }=\frac{ 5 }{ 6 }$$

Do you know how to cross multiply? 
Example:

$$\frac{ a }{ b }=\frac{ c }{ d }$$
Then:$$a \times d = b \times c $$

MiaTatem23 · Answer

Oh damn

MiaTatem23 · Answer

You can't just tell me..?

Extrinix · Answer

https://questioncove.com/rules

MiaTatem23 · Answer

@extrinix wrote:

https://questioncove.com/rules

not reading all that 🥱

umm · Answer

We have a no direct answer policy. I'm trying to make you understand the question so you can learn how to continue to do it with other math questions.

MiaTatem23 · Answer

@umm wrote:

We have a no direct answer policy. I'm trying to make you understand the question so you can learn how to continue to do it with other math questions.

😩 alright fineeeeee

MiaTatem23 · Answer

at least tell me what to do first

umm · Answer

I have, with the cross multiply.

MiaTatem23 · Answer

@umm wrote:

I have, with the cross multiply.

ik ik what do i cross multiply

umm · Answer

The given equation:
$$\frac{ x-9 }{ 3x+9 }=\frac{ 5 }{ 6 }$$

MiaTatem23 · Answer

bro I don't know what to do first tho 😭

MiaTatem23 · Answer

I know cross multiply but cross multiply whattt

umm · Answer

@umm wrote:

Alright, let's get started. Given: $$\frac{ x-9 }{ 3x+9 }=\frac{ 5 }{ 6 }$$ Do you know how to cross multiply? Example: $$\frac{ a }{ b }=\frac{ c }{ d }$$ Then:$$a \times d = b \times c $$

MiaTatem23 · Answer

Ok I forgot how to cross multiply..

MiaTatem23 · Answer

do what now?

umm · Answer

Think of x-9 as a from the given example and continue from there.

MiaTatem23 · Answer

So what by 9 will equal 5?

MiaTatem23 · Answer

@umm wrote:

Think of x-9 as a from the given example and continue from there.

*dies inside* 💀

umm · Answer

No, here, I'll show you. Just so you know, I won't be doing this all for you.

$$(x-9) \times 6 - (3x+9) \times 5$$

MiaTatem23 · Answer

@umm wrote:

No, here, I'll show you. Just so you know, I won't be doing this all for you. $$(x-9) \times 6 - (3x+9) \times 5$$

I don't understand tho..

umm · Answer

What are you not understanding?

MiaTatem23 · Answer

@umm wrote:

No, here, I'll show you. Just so you know, I won't be doing this all for you. $$(x-9) \times 6 - (3x+9) \times 5$$

I guess idk what I'm supposed to do 👆

umm · Answer

Did you not read how I showed you in the example?

MiaTatem23 · Answer

@umm wrote:

Did you not read how I showed you in the example?

I did but don't get it

MiaTatem23 · Answer

Still..

Extrinix · Answer

I'll give you an example on behalf of umm just so you can make sense of it. Original problem: $\dfrac{1x}{2} = \dfrac{3}{4}$ Cross multiply: $3(2) = 1x(4)$ Simplify: $6 = 4x$ Divide: $\dfrac{6}{4} = \dfrac{4x}{4}$ Solve: $1\dfrac{1}{2} = x$

MiaTatem23 · Answer

@extrinix wrote:

I'll give you an example on behalf of umm just so you can make sense of it. Original problem: $\dfrac{1x}{2} = \dfrac{3}{4}$ Cross multiply: $3(2) = 1x(4)$ Simplify: $6 = 4x$ Divide: $\dfrac{6}{4} = \dfrac{4x}{4}$ Solve: $1\dfrac{1}{2} = x$

Oh my god that makes more sense!

Extrinix · Answer

There's a simple problem on how to do cross multiplication, it's not that hard, you just have to remember this:

$\dfrac{\color{tomato}{a}}{\color{cyan}{b}} = \dfrac{\color{violet}{c}}{\color{lime}{d}}$

is the same as

$\color{lime}{d}(\color{tomato}{a}) = \color{cyan}{b}(\color{violet}{c})$

MiaTatem23 · Answer

@extrinix wrote:

There's a simple problem on how to do cross multiplication, it's not that hard, you just have to remember this: $\dfrac{\color{tomato}{a}}{\color{cyan}{b}} = \dfrac{\color{violet}{c}}{\color{lime}{d}}$ is the same as $\color{lime}{d}(\color{tomato}{a}) = \color{cyan}{b}(\color{violet}{c})$

So does x = -11? That's what I got just now

umm · Answer

@extrinix wrote:

There's a simple problem on how to do cross multiplication, it's not that hard, you just have to remember this: $\dfrac{\color{tomato}{a}}{\color{cyan}{b}} = \dfrac{\color{violet}{c}}{\color{lime}{d}}$ is the same as $\color{lime}{d}(\color{tomato}{a}) = \color{cyan}{b}(\color{violet}{c})$

Thank you, I was trying to actually draw this out and I'm on mobile, lol.

Extrinix · Answer

You're welcome ^^

1 attachment