SOLUTION: Solve the system of equations. Give graphical support by making a sketch. (x^2/4) + (y^2/9) = 1 x + y = 3

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Question 444284: Solve the system of equations. Give graphical support by making a sketch.
(x^2/4) + (y^2/9) = 1
x + y = 3

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
and
x^2/4 + (x^2 - 6x + 9)/9 = 1
9x^2 + 4x^2-24x+36 = 36
13x^2 -24x = 0
x(13x -24) = 0 x = 0 and x = 24/13
(0,3) and (24/13,15/13) the solutions for this system


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