anonymous
  • anonymous
Find the coordinates of corner point A.−x + 2y = 2, x + y = 2, and y = 0.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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eyust707
  • eyust707
okay so we have three lines
eyust707
  • eyust707
neither of them or parallel so they intersect to form a triangle
eyust707
  • eyust707
we are looing for the corners of this triangle

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eyust707
  • eyust707
well the corner occurs when the two lines meet
eyust707
  • eyust707
when the two lines are equal to each other
eyust707
  • eyust707
two of the corners are easy to find because we can just plug y=0 into the equaitons
eyust707
  • eyust707
then useing that x that we get we can solce for the y
eyust707
  • eyust707
would you like me to show you an example
anonymous
  • anonymous
That would be great. THis has stomped me for hours.
eyust707
  • eyust707
okay lets look at these two lines: x + y = 2 y = 0
eyust707
  • eyust707
we want to find the point where they intersect
eyust707
  • eyust707
well we know for that bottom line y always equals 0
eyust707
  • eyust707
since y equals zero we need to find the x to satisfy the top equation when y is 0
eyust707
  • eyust707
so just plug y=0 into the top equation
eyust707
  • eyust707
what does x then equal?
anonymous
  • anonymous
0
eyust707
  • eyust707
nope. x + 0 = 2
eyust707
  • eyust707
what is x?
anonymous
  • anonymous
2
eyust707
  • eyust707
yes so whe y=0 and x=2 those lines meet
eyust707
  • eyust707
that is one of your corners
eyust707
  • eyust707
try and do the same thing for these two lines: −x + 2y = 2 y = 0.
eyust707
  • eyust707
clearly y equals 0
eyust707
  • eyust707
but what does x equal?
anonymous
  • anonymous
-2
eyust707
  • eyust707
correct!
eyust707
  • eyust707
so the second corner is y=0 x=-2
eyust707
  • eyust707
now for the last one: −x + 2y = 2 x + y = 2
eyust707
  • eyust707
youve probably been doing these in class, do you knwo how to solve these?
anonymous
  • anonymous
These are my downfall. I am not fond of finding these corner points and the problems she always gave use were so difficult.
eyust707
  • eyust707
well this one is actually pretty easy , once you get the hang of it
anonymous
  • anonymous
the first time i tried this last part i got a fraction.
eyust707
  • eyust707
thats not necessarily a bad thing...
eyust707
  • eyust707
what did you get?
anonymous
  • anonymous
y=4/3
eyust707
  • eyust707
correct!
eyust707
  • eyust707
and whats x?
anonymous
  • anonymous
really?
eyust707
  • eyust707
yep
anonymous
  • anonymous
omg i stopped there because i just knew i was wrong
eyust707
  • eyust707
nope not at all!
anonymous
  • anonymous
i can put the y into either equation, right?
eyust707
  • eyust707
yep
anonymous
  • anonymous
x=2/3
eyust707
  • eyust707
thats it so your third point is : y=4/3 x=2/3
eyust707
  • eyust707
(2/3 , 4/3)
anonymous
  • anonymous
thank you so much! :)

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