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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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?
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OpenStudy (triciaal):
when x = 0 is y = -7 D
OpenStudy (anonymous):
Barca @10115658