Question

6x=7-4y;x=-2,-1,0. solve equation for Y. find the value of Y for each value of X.

Answer 1

i really need some help :(

Answer 2

Ok just plug in every value of x into each x in the equation, then solve for y :)

Answer 3

Let's try pluging in -2 first:

Answer 4

\[6*-2=7-4y\]
\[-12=7-47\]

Answer 5

okay

Answer 6

Subtract 7 to both sides

Answer 7

ooops it's supposed to be -12=7-4y NOT −12=7−47 my bad

Answer 8

Ok what do you get after subtracting the 7 to both sides?

Answer 9

that's fine i understand. how did you get 6x?

Answer 10

from the equation you were given "6x=7-4y"

Answer 11

nevermind

Answer 12

i saw that now.

Answer 13

ok what does y equal when x=-2?

Answer 14

um...i think y equals i need to write more down

Answer 15

ok you want to solve for y after plugging in the value of x

Answer 16

what do you mean by plugging in?

Answer 17

Ok so you were given three values of x, x=-2,-1,0, you were asked to find the value of y for each value of x, You use the equation given is 6x=7-4y

Answer 18

So plug in each value of x into the equation (or substitute for x)

Answer 19

For example when x=-2

\[6 * -2 = 7-4y\]

Answer 20

Did you see how I put the -2 in the place where the x was?

Answer 21

yes i see why?

Answer 22

i understand

Answer 23

x=-2

Answer 24

so thats why you replace it.

Answer 25

Because that's how you do it. If you are given an equation, in this case 6x=7-4y, and are given the value of the x, you plug in that value.

Answer 26

so do i multiply?

Answer 27

You are asked to find the value of the y when x equals that value you were given

Answer 28

Try it, plug in the first value of x that you were given.

Answer 29

let me try.

Answer 30

6x-2=7-4y now you subtract 7 from both sides and you get -2-7

Answer 31

equals -5

Answer 32

is this correct?

Answer 33

or is it -9?

Answer 34

:/

Answer 35

No you were supposed to substitute the x for -2

Answer 36

6 * -2 = 7-4y

six times -2 equals -12

-12=7-4y

NOW you can subtract the 7 to both sides

Answer 37

oops sorry i meant to put 6-2

Answer 38

you put a * in your previous message does that mean times?

Answer 39

multiplication.

Answer 40

Yes * means times

Answer 41

i subtracted 7 from both sides is that correct atleast.

Answer 42

okay good.

Answer 43

i was supposed to put 6 times -2 =7 -4y

Answer 44

Yes, because the 6x just meant 6 times x, and x is -2

Answer 45

okay i understand.

Answer 46

what do i do with 4y?

Answer 47

-4y sorry.

Answer 48

Ok so after plugging in and multiplying you have

-12=7-4y, the goal here is to get y by itself, like (y= something)

Answer 49

**Oops and after subtracting the 7

Answer 50

wait i think i already know that you divide it with the answer of -2-7 right?

Answer 51

that was -5 when i calculated it.

Answer 52

so the -4y, just means -4 times y, so you do the opposite, you divide -4 to both sides

Answer 53

is 2-7 negative 5 or -9?

Answer 54

y=1.25

Answer 55

or no :/

Answer 56

\[-12=7-4y\] you subtract 7 to both sides
\[-19=4y\] you divide 4 to both sides


\[\frac{ -19 }{ 4}=y\]

Answer 57

Where did you get the 2-7?

Answer 58

i subtracted 7 from both sides i guess i had to subtact on the right side of the problem not the left.

Answer 59

Look after plugging in the -2,
you get 6 * -2=7-4y then you multiply that two you get:
-12=7-4y then you subtract the 7 to both sides (the 7's cancel each other out)

Answer 60

oh i get it now!

Answer 61

i forgot that step.

Answer 62

i canceled the 7 outs tho.

Answer 63

i'll figure it out.

Answer 64

thank you

Answer 65

Look at what I did click the image

Answer 66

I see i accidentally solved it wrong.

Answer 67

thanks for drawing the picture i see it now what i did wrong, you subtracted the 7 from -12 thats how you got -19.

Answer 68

thanks i don't need anymore help i got it.

Answer 69

now i just have to find the value of y for the other x of 4