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

- anonymous

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

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- anonymous

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

- anonymous

Do you know how to do elimination? (:

- anonymous

yes, i think..

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- anonymous

You need me to clarify? (:

- anonymous

please?

- anonymous

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

- anonymous

first*

- anonymous

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

- anonymous

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

- anonymous

I take that back you would multiply by -2

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

does* not does not lol

- anonymous

So then if you add the two equations you get
3x = 9
x = 3
Then to solve for Y
You would have

- anonymous

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

- anonymous

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

- anonymous

-3?

- anonymous

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

- anonymous

Its the way i was taught....

- anonymous

Why dont YOU help him then :P

- anonymous

i really appreciate the help

- anonymous

lol

- anonymous

is y= -3?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

do*

- toxicsugar22

hi can anyone here help me after u help her

- anonymous

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

- anonymous

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

- anonymous

im a guy* thnak you! lol

- anonymous

x - slope and y = y intercept

- anonymous

Ik your a guy.. haha

- toxicsugar22

oh srry can someone help me after him

- anonymous

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

- anonymous

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

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