SOLUTION: The number of ordered pair solutions (x, y) with real coordinates of the system
3x^2 − y^2 = 3
5x^2 − 2y^2 = 2
is
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
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-> SOLUTION: The number of ordered pair solutions (x, y) with real coordinates of the system
3x^2 − y^2 = 3
5x^2 − 2y^2 = 2
is
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
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Question 282777: The number of ordered pair solutions (x, y) with real coordinates of the system
3x^2 − y^2 = 3
5x^2 − 2y^2 = 2
is
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4 Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 3x^2 − y^2 = 3
5x^2 − 2y^2 = 2
6x^2 - 2y^2 = 6 Eqn 1 times 2
--------------- Subtract
x^2 = 4
x = ± 2
-------
Sub for x into either eqn
--> y = ± 3
-------------
(-2,-3)
(-2,3)
(2,3)
(2,-3)
--> 4 intersections
