Question

I need help solving the equation -y+6x=12

Answer 1

you cannot solve it completely

Answer 2

since you have a 2 variables in 1 equation

Answer 3

you can represent all its solutions in a graph though

Answer 4

re arrange in y=mx+b and graph this line

Answer 5

m is the slope, and b is the y intercept

Answer 6

Yes that's correct I need to solve and graph

Answer 7

okay so lets rearrange in terms of y first so its easier to tink about

Answer 8

ok

Answer 9

start by adding y to both sides what happens?

Answer 10

I got rid of the y on left side

Answer 11

-y + y + 6x=12 + y
these y cancel
6x=12+y
can you see what you must do to isolate for y on the right side now

Answer 12

do you write it like that

Answer 13

what do you mean?

Answer 14

6x=12+y

Answer 15

oh yeah that is fine
if it makes it easier to think u can flip them around since that is still the same equation like
12+y=6x

Answer 16

ok

Answer 17

just think about it like someone is looking at the equation standing behind it, and u are looking at it standing infront of it, to you it might be on the right to the other guy its on his left, but they are still looking at the same equality right

Answer 18

can you walk me through this problem

Answer 19

okay

Answer 20

ty

Answer 21

so lets continue by isolating for y on 1 side all alone now

Answer 22

ok

Answer 23

subtract 12 from both sides
12+y - 12=6x-12
y = 6x-12
------------------
now we can graph this equation

Answer 24

ok

Answer 25

to graph y=6x-12, there are many little tricks to do it fast, but for starters, you must realize this is the equation of a line
since it is in the form y=mx+b
where m is some random constant multiplying x

Answer 26

ok

Answer 27

you can also infer it is a line by picking some x values and see what htey value must be there

Answer 28

we need atleast 2 points to graph, so lets try to find the simplest points by looking at
when x=0, what is y and
x=1, what is y

Answer 29

y=6x-12
when x=0
y=6*(0)-12 = -12, so we have our first point x=0 and y=-12

When x=1
y=6*(1)-12=-6, so we have our 2nd point x=1,y=-6

Answer 30

ok im having a difficult time understanding this online thanks for your help but I need to talk to someone in person

Answer 31

okay wait I will give you online video to watch

Answer 32

ok ty

Answer 33

https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie

Answer 34

thanks

Answer 35

on the left side there are other topics which you can browse by if you feel like you are missing something before you can understand graphing linear equations right away

Answer 36

ty

Answer 37

okay, you are welcome! see you