Question

how do you graph this system of equations
x-y=3
x-2y=3

Answer 1

Easy you first find what y and x equal by using elimination

Answer 2

Do you know how to do elimination? (:

Answer 3

yes, i think..

Answer 4

You need me to clarify? (:

Answer 5

please?

Answer 6

Haha yea sure (:
Okay so you have to firsy see if anything can cancel out

Answer 7

first*

Answer 8

As you can see nothing cancels out. Since your graphing it wont matter which one you start with. So then you have to think what do i have to multiply so that either the x or y variables will be crossed out

Answer 9

I would try to cross the Y variable out first. So you Have to Multiply the whole equation (x - y = 3) by 2 so that the y will cross out so then

Answer 10

I take that back you would multiply by -2

Answer 11

So that you would be able to cross them out ( negative & positive)

Answer 12

Okay so then you would get 2x + 2y = 6

Answer 13

If you set them up like so
2x + 2y = 6
x - 2y = 3

You would see that the 2y does no indeed, cancel out. So then you'd get

Answer 14

does* not does not lol

Answer 15

So then if you add the two equations you get
3x = 9
x = 3

Then to solve for Y
You would have

Answer 16

\[\text{Psst, 'graph' $\not=$ 'solve'} \]

Answer 17

Haha i know.
But this is also a good way to do it.
Okay so then you would plug the 3 in for x

Answer 18

-3?

Answer 19

No offence, but this is a very long way to do it.

Answer 20

Its the way i was taught....

Answer 21

Why dont YOU help him then :P

Answer 22

i really appreciate the help

Answer 23

lol

Answer 24

is y= -3?

Answer 25

Yes, im pretty sure (: Go ahead and show me how you got that and i will tell you if its correct. Btw sorry Newton I just have an immense respect for my teachers ^_^ Even though most the time I dont like them

Answer 26

you put 3 in for x in one of the equations?

Answer 27

Your teachers taught you that is how to figure out how to graph an equation?

Answer 28

No they taught me to find the variables and then graph... lol easy peasy..

Answer 29

The steps just seem long, after you did it a lot its not that hard :P

Answer 30

do*

Answer 31

hi can anyone here help me after u help her

Answer 32

Yes dark lol.. (: Okay and then you do y-intercept and slope to graph (:

Answer 33

\[x-y = 3 \implies y = x-3 \]
\[x-2y = 3 \implies y = \frac{x-3}{2} \]

You (should be able to!) can graph these right form here, as they are in the form y = mx + c.

But setting x = 0, y = 0 to find the intercepts may help.

Answer 34

im a guy* thnak you! lol

Answer 35

x - slope and y = y intercept

Answer 36

Ik your a guy.. haha

Answer 37

oh srry can someone help me after him

Answer 38

toxicsugar said her*........ anyways.................thank you very much!

Answer 39

Haha oh.. ^_^ blonde moment...
And yes good process.
That's just the way i was taught ^_^