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Mathematics 11 Online
OpenStudy (anonymous):

Choose the system of equations that matches the following graph: A) 5x+2y=-14 7x+y=7 B)5x+2y=-14 7x-y=7 C)5x-2y=-14 7x+y=7 D)5x-2y=-14 7x-y=7

OpenStudy (anonymous):

OpenStudy (anonymous):

@misty1212 @Nnesha

OpenStudy (anonymous):

put the equations in the form y=mx+b

OpenStudy (anonymous):

@10115658 @Hero @nincompoop

OpenStudy (anonymous):

get y by itself for the equations

OpenStudy (anonymous):

and the y-intercept is -7 for both lines

OpenStudy (anonymous):

I'm confused @10115658

OpenStudy (anonymous):

first i divide 7x from 7x+y=7 right @10115658

OpenStudy (anonymous):

nope, we just want to isolate y. so just subtract 7x

OpenStudy (anonymous):

y=7-7x

OpenStudy (anonymous):

y=-7x+7

OpenStudy (anonymous):

what is the y-intercept of that?

OpenStudy (anonymous):

and then i plug that in to the other equation?

OpenStudy (anonymous):

no those are separate equations

OpenStudy (anonymous):

for both the lines

OpenStudy (anonymous):

what is the y-intercept of y=-7x+7

OpenStudy (anonymous):

remember, the equation of a line is y=mx+b where m is the slope and b is the y-intercept

OpenStudy (anonymous):

0,7

OpenStudy (anonymous):

0,-7

OpenStudy (anonymous):

ya it says the y-intercept is at 7. Looking at the graph though, that isn't true so we can rule out option A

OpenStudy (anonymous):

lets look at 5x+2y=-14

OpenStudy (anonymous):

we isolate y to get y = -5/2x - 7

OpenStudy (anonymous):

this has a y-intercept of -7 which is true for both lines from the graph

OpenStudy (anonymous):

looking at the graph, can you tell me what the x-intercepts are?

OpenStudy (anonymous):

Where the lines cross the x-axis

OpenStudy (anonymous):

-3 1

OpenStudy (anonymous):

(0,-3) & (0,1)

OpenStudy (anonymous):

that's right

OpenStudy (anonymous):

so now we need to isolate x in the equation 5x+2y=-14 and see if the x-intercept is 1 or -3

OpenStudy (anonymous):

so divide 5x

OpenStudy (anonymous):

jk

OpenStudy (anonymous):

ya you should get x = -14/5 -2y/5

OpenStudy (anonymous):

oh ok jk again loll

OpenStudy (anonymous):

So the x-intercept is -2.8 which is pretty much -3

OpenStudy (anonymous):

So now we know 5x+2y=-14 is the equation of one of the lines

OpenStudy (anonymous):

:-D

OpenStudy (anonymous):

That means the answer must be either choice A or B

OpenStudy (anonymous):

B

OpenStudy (anonymous):

that's right

OpenStudy (anonymous):

because A had -7 which was neither

OpenStudy (anonymous):

Thanks man!

OpenStudy (anonymous):

and if you find the x-intercept of 7x-y=7

OpenStudy (anonymous):

you get x = 1 +y/7

OpenStudy (anonymous):

1 being the x-intercept

OpenStudy (anonymous):

no problem man

OpenStudy (anonymous):

Keep in touch, you're a big help

OpenStudy (anonymous):

Plus i see you like soccer

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

you support a team?

OpenStudy (triciaal):

to do it from the graph the intersection is (0, -7) in which option will this work for both equations?

OpenStudy (triciaal):

when x = 0 is y = -7 D

OpenStudy (anonymous):

Barca @10115658

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