Question

Find the constant of variation k for the direction variation 2x + 6y = 0

Answer 1

isolate y
subtract 2x from both sides

Answer 2

oh, alright. I wasn't sure if I should still isolate y since now there was two numbers/two letters..Okay, so that'd be 4y = 0? O.o

Answer 3

not actually,
you combine only like terms :)

2x and 6y are not like terms.

Answer 4

but then it'd be 6y = -2..O.o

Answer 5

let me give you a similar example :

10x+3y = 0

to isolate y,
we observe that 10x is ADDED to the y term

so we SUBTRACT 10x from both sides,

10x -10x +3y = 0 -10x

which gives
3y = -10x

----------------
now we see that 3 is MULTIPLIED with y
so to isolate y, we DIVIDE both sides by 3

3y/3 = -10x/3

y = -10x/3

and comparing with y= kx
k = -10/3

Answer 6

if you meant
\(\large 6y =-2x\)
then you're absolutely correct :)

Answer 7

Oh yeah, I forget to add the letters all the time XD Yeah..So then I'd..Divide 6 by both sides?

Answer 8

correct!
good, divide both sides by 6

Answer 9

well wouldn't that be -3? O.o

Answer 10

Oh wait wait wait

Answer 11

That would be 0.3 repeating, right?

Answer 12

And then I'd have to put the 0.3 repeating as a fraction, right?

Answer 13

So then the answer would be -1/3? O.o

Answer 14

6y =-2x

6y/6 = -2x/6

y = -2x/6

try to reduce -2/6

answer in fractions is allowed, right ?

Answer 15

k =-1/3 is correct :)

Answer 16

Yay :D Tysm.

Answer 17

welcome ^_^

Answer 18

I also got -1/3x for my answer for this problem..Is that correct? I got it by basically doing the same thing as I did here.

Answer 19

@hartnn

Answer 20

y =mx

-2 = 6m

m = -1/3

y =-1/3x
yes, you are correct! :)
good job!