SOLUTION: solve the system of equations for real value of x and y 2x^2 - y^2 +7 =0 3x^2 -4y^2 +33 =0

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Question 330254: solve the system of equations for real value of x and y
2x^2 - y^2 +7 =0
3x^2 -4y^2 +33 =0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x%5E2+-+y%5E2+%2B7+=0
2.3x%5E2+-4y%5E2+%2B33+=0
From eq. 1,
y%5E2=2x%5E2%2B7
Substitute into eq. 2,
3x%5E2-8x%5E2-28%2B33=0
-5x%5E2%2B5=0
5x%5E2=5
x%5E2=1
x=0+%2B-+1
Solve for y using eq. 1,
2-y%5E2%2B7=0
y%5E2=9
y=0+%2B-+3
(-1,3),(-1,-3),(1,3),(1,-3)
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