Question

2x/y + 6 = -4

Answer 1

Do you want to solve for y here? or x?

Answer 2

Find x if y = -3

Answer 3

Is the equation

\[\Large \frac{2x}{y}+6 = -4\]

OR

is it

\[\Large \frac{2x}{y+6} = -4\]

???

Answer 4

the first one!

Answer 5

alright thanks

Answer 6

Start with

\[\Large \frac{2x}{y}+6 = -4\]

and replace "y" with -3 (since y = -3, they are the same) to get

\[\Large \frac{2x}{-3}+6 = -4\]

Answer 7

Now what's the next step?

Answer 8

subtract 6 from both sides

Answer 9

good

Answer 10

this gives you

\[\Large \frac{2x}{-3}+6-6 = -4-6\]

which becomes

\[\Large \frac{2x}{-3}= -10\]

Answer 11

then what?

Answer 12

than you multiply -3 from both sides which gives you 2x = 30

Answer 13

you got it

Answer 14

then the last step is...???

Answer 15

divide 2 from both sides and x gives you x = 15!

Answer 16

you nailed it

Answer 17

very nice

Answer 18

thanks! I have another one :

find x if y = 4

3xy - 6 = 4x

Answer 19

Well I solved but got the wrong answer

Answer 20

Oh wow I confused x with 4 instead of y

Answer 21

ah i gotcha

Answer 22

why is there an x after the 6?

Answer 23

oh my bad...lol made a typo

Answer 24

3xy - 6 = 4x

3x*4 - 6 = 4x ... replace y with 4

4*3x - 6 = 4x ... rearrange the terms

12x-6 = 4x ... multiply

Answer 25

Oh ok lol

Answer 26

glad you're paying attention lol, but it looks like you know what you're doing...which is great

Answer 27

Yeah I just get confused :/ So you subtract 6 from both sides?

Answer 28

No, you add 6 to both sides

Answer 29

I mean add*

Answer 30

because -6+6 will become 0 on the left side and go away

Answer 31

yes

Answer 32

right. so you get 12x = 10?

Answer 33

not quite...you can't add 4x to 6 to get 10

Answer 34

So you just leave the terms as they are to get

12x = 4x + 6

Answer 35

Then what's next?

Answer 36

subtract 6 from both sides?

Answer 37

We want all the x terms on one side. So why not move that 4x over?

Answer 38

how do we do that?

Answer 39

subtract 4x from 12 x?

Answer 40

good

Answer 41

to get what?

Answer 42

8x = 6

Answer 43

good, last step?

Answer 44

divide 8 by both sides and you get 1.33333 but that's not a choice for my answers -.-

Answer 45

If we divide both sides by 8, we'll go from

\[\Large 8x = 6\]

to

\[\Large x = \frac{6}{8}\]

and the fraction on the right side reduces to

\[\Large x = \frac{3}{4}\]

Answer 46

btw, you divided in the wrong order since you should have typed 6/8 to get 0.75

Answer 47

Oh thats why omg im so sorry..

Answer 48

lol you're fine

Answer 49

silly mistake

Answer 50

I know very silly, I need a lot of help :(

Answer 51

well with a lot of practice, you'll get a lot better

Answer 52

True quick question if you have a problem like 1x + 7y = 5 and you're solving for x you would subtract 7 from both sides, correct?

Answer 53

7y, but yes you pretty much are on the right track

Answer 54

you're*

Answer 55

Ok just making sure! and how would you solve a problem like that also?

Answer 56

Well if you subtract 7y from both sides, you go from

1x + 7y = 5

to

1x = 5 - 7y

Answer 57

Your next step is to divide every term by the number sitting in front of the x (which is 1)

So 5/1 = 5 and -7y/1 = 7y

which means

1x = 5 - 7y

then turns into

x = 5 - 7y

Answer 58

right so than you divide 5 form both sides

Answer 59

Why would you divide both sides by 5?

Answer 60

Notice how we completely isolated x, which means that we've fully solved for x.

Answer 61

omg add*

Answer 62

oh, no need to do that either because that will be a step back from isolating x

Answer 63

Oh wait never mind -.-

Answer 64

This is probably a strange problem since that they didn't give you any values to plug into y.

Answer 65

Yes I know