SOLUTION: Can someone please walk me through this? Solve the system of equations for real values of x and y. (Sort your answers in increasing order, first by their x -values, then by thei

Algebra ->  Systems-of-equations -> SOLUTION: Can someone please walk me through this? Solve the system of equations for real values of x and y. (Sort your answers in increasing order, first by their x -values, then by thei      Log On


   

Question 328421: Can someone please walk me through this?
Solve the system of equations for real values of x and y. (Sort your answers in increasing order, first by their x -values, then by their y -values.)
4x^2 - y^2 + 5= 0
3x^2 - 4y^2 + 33= 0
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Thank you,
Edgar
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.4x%5E2+-+y%5E2+%2B+5=+0
2.3x%5E2+-+4y%5E2+%2B+33=+0
From eq. 1,
y%5E2=4x%5E2%2B5
Substitute into eq. 2,
3x%5E2-4%284x%5E2%2B5%29%2B33=0
3x%5E2-16x%5E2-20%2B33=0
-13x%5E2%2B13=0
13x%5E2=13
x%5E2=1
highlight%28x=0+%2B-+1%29
Now solve for the y coordinates,
x=1
4%281%29-y%5E2%2B5=0
y%5E2=9
y=0+%2B-+3
(1,3),(1,-3)
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x=-1
Same answers.
(-1,3)(-1,-3)
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