SOLUTION: Find numerical values for all simultaneous solutions of: X^2+3y^2=27 xy=6 and illustrate with a graph

Question 353523: Find numerical values for all simultaneous solutions of:
X^2+3y^2=27
xy=6
and illustrate with a graph
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
(1)
(2)
From equation (2), .
Substituting into (1),
,
,
Multiplying both sides by , we get
, or
. Treating the equation as a quadratic equation in , and applying the quadratic formula, we get
,
. Hence
, or
. The values that we get from the first x-value are or . from the second x-value, we get the negatives: or .
The corresponding y-values are (obtained from equation (2)) 1.2758, 2.7152,
-1.2758, -2.7152.

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