Which point lies in the solution set for the following system of inequalities?
x + 2y > 4
x − y < 6
(1, 1)
(5, −2)
(5, 1)
(7, 0)
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OpenStudy (anonymous):
@Eyad
OpenStudy (anonymous):
Can you solve this system ?
OpenStudy (anonymous):
solving? you mean putting it into points?
OpenStudy (anonymous):
why'd you delete it? I was reading it!
OpenStudy (anonymous):
@Eyad
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OpenStudy (anonymous):
I got 8 lmao. am I right?
OpenStudy (anonymous):
for real?!?!
OpenStudy (anonymous):
yeah, that's what I got.
OpenStudy (anonymous):
but what do I do now?
OpenStudy (anonymous):
6?
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OpenStudy (anonymous):
oh, I thought you meant substitute 8 for 12! lol. that's still not the answer I'm looking for though.
OpenStudy (anonymous):
so what now?
OpenStudy (anonymous):
no! haha okay, no biggie.
OpenStudy (anonymous):
1- multiply the second line by -1 so the sign will change...the system will become
x + 2y > 4
-x + y > 6
now multiply your second equation by 2 to get the y canceled out
x + 2y > 4
-2x + 2y >-6
can you solve for y now?
OpenStudy (anonymous):
for x *
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OpenStudy (anonymous):
I get 1.5 am I right?
OpenStudy (anonymous):
By Subtracting ,You will get :
3x > 10
x > ?
OpenStudy (anonymous):
not sure! I'm confused!
OpenStudy (anonymous):
|dw:1366706499128:dw|
================
Now substitute with 10/3 instead of x in
-2x + 2y >-6
Can you solve now for y ?
OpenStudy (anonymous):
solve for Y or X?
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OpenStudy (anonymous):
I don't know how to do it with fractions!
OpenStudy (anonymous):
For Y .....
-2(10/3) +2y >-6
-20/3 + 2y > -6
2y > -6 +20/3
2y > -38/3
y > -19 /3
OpenStudy (anonymous):
Note :::
y > -19/3 = y > -6.3333..
x >10 >3 = x > 3.33333
Can you find a suitable order pair ?
OpenStudy (anonymous):
when it comes to fractions, I have no Idea what I'm doing!
OpenStudy (anonymous):
so.. what now?
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OpenStudy (anonymous):
it's C/
OpenStudy (anonymous):
Find the order pair which suit them
OpenStudy (anonymous):
I can't work with fraction lol/
OpenStudy (anonymous):
You are left with 2 choices
C,B
OpenStudy (anonymous):
c! @Eyad
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