Question

Which is the graph of the system of equations?

x + 2y = 2
4x – y = 4

Answer 1

@johnweldon1993 This is the question! I need a few moments to get the pictures though.

Answer 2

Here are the answer choices:

A. http://static.k12.com/calms_media/media/212500_213000/212730/1/97f8da5ab84c50682af13354228fb27519735ee8/ALGTests_L2_S1_U8_Q11_B.gif

B. http://static.k12.com/calms_media/media/212500_213000/212732/1/22f6c7613c73dc40a8fd217fbbf8d8085af5281b/ALGTests_L2_S1_U8_Q11_D.gif

C. http://static.k12.com/calms_media/media/212500_213000/212731/1/d4fb906341cd96932f934d5b17ff8fdb56ca1ac9/ALGTests_L2_S1_U8_Q11_C.gif

D. http://static.k12.com/calms_media/media/212500_213000/212729/1/622563b1969bb52ea47c05781edf1f693903a546/ALGTests_L2_S1_U8_Q11_A.gif

Answer 3

Alright, so, whats the first step? :)

Answer 4

I believe the first step is to change the equations to Slope Intercept Form...

Answer 5

Indeed...so what is each equation in slope intercept form?

Answer 6

Um, let me see...

Answer 7

The first one is: x = 2 - 2y
And the second one is: -y = 4 - 4x

Answer 8

Hmm, so remember how slope intercept looks like

\[\large y = mx + b\]

we want 'y' by itself in both cases...so try that 1 more time :)

Answer 9

Oh, I thought it would be okay if it was x, but I will definitely try again. :)

Answer 10

I think I got this incorrect, but: y = 1 - x

Answer 11

Not quite...but I'm glad you're trying :D

So we'll do the first...first XD

\[\large x + 2y = 2\]

We want the 2y by itself...so lets subtract 'x' from both sides first

\[\large 2y = -x + 2\]

and now we want 'y' COMLETELY y itself...so divide everything by 2

\[\large y = -\frac{1}{2}x + 1\]

Answer 12

I subtracted 'x' from both sides, but instead I put it like this: 2y = 2 - x

Answer 13

So, where did you get the half from? That's what I don't understand...

Answer 14

Same thing there

You can write it like that or like mine....same thing just different order :)

So lets do it how you wrote to make it easier :)

\[\large 2y = 2 - x\]

Now...we want \(\large y = something\) so we need to make that 2 that is being multiplied to the 'y' go away...and how do we get rid of something being multiplied? We divide

So what is 2y divided by 2? well it's just 1y...or just y

So that means...if we divide everything by 2...we have

\[\large \frac{\cancel{2}y = \cancel{2}\rightarrow 1 - x}{\cancel{2}} \rightarrow y = 1 - \frac{x}{2}\] which can then be written as \[\large y = 1 -\frac{1}{2}x\]

Answer 15

Just to address your exact question...

what is x....divided by 2? well it is 1/2 'x' :)

Answer 16

Ohhh! Okay, I think I understand better. So is the overall answer to the question D. ?

Answer 17

@johnweldon1993 Am I right? Is the answer D. ?

Answer 18

oh sorry, looking at another question lol...yes D is correct :)

Answer 19

It's okay, I took the dare and submitted in my answer! Turns out it was correct. :D Thanks so much for your help! :D