Solve for x, y, and x^3

[hollow night]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[lost plank]

2

[trim dust]

show your progress

[lost plank]

it's just a bunch of scratches

i doubt you'll understand what I've written because it's so unorganized

[trim dust]

from $\frac{y}{3} = \frac{x}{y}$

[slim trench]

artemetra

[trim dust]

multiply both sides by y

$\frac{y^2}{3} = x$

[slim trench]

artemetra

[trim dust]

$x = \frac{y^2}{3}$

[slim trench]

artemetra

[trim dust]

substitute that into $\frac{2}{x} = \frac{y}{3}$

[slim trench]

artemetra

[trim dust]

$\frac{6}{y^2} = \frac{y}{3}$

[slim trench]

artemetra

[trim dust]

$\frac{y^3}{3} = 6$

[slim trench]

artemetra

[trim dust]

and continue from there :)

actually!

there's an even easier way

if you only need to determine x^3

from $\frac{2}{x}=\frac{x}{y}$

[slim trench]

artemetra

[trim dust]

you get that $y=\frac{x^2}{2}$

[slim trench]

artemetra

[trim dust]

and substitute that into $\frac{2}{x} = \frac{y}{3}$

[slim trench]

artemetra

[trim dust]

$\frac{2}{x} = \frac{x^2}{6}$

[slim trench]

artemetra

[trim dust]

and from there you just solve for x^3

@lost plank does this make sense?

[lost plank]

thank you so much!

I'll try to solve it on my own now

multiplying y to both sides of this

would make it equal to

xy = 6?

to make it easier

[trim dust]

no

if you want to go with this method solve for just y

[trim dust]

you are like 2 steps away

but also your problem doesn't require you to solve for y

it only needs x^3

[trim dust]

if you go this way it's much much easier

[lost plank]

hold on bro

my family needs to go to church for christmas reasons I'll continue this when I go home

[trim dust]

no worries

[lost plank]

x³ = 12?

I mean -12

[trim dust]

12

[lost plank]

oh yeah 12 i messed up I was doing it my head

thank you!

[trim dust]

no problem

[lost plank]

.solved