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

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Solve the system of equations. Give graphical support by making a sketch. (x^2/4) + (y^2/9) = 1 x + y = 3      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi



Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.

+%28x%29%5E2%2F4+%2B+%28y%29%5E2%2F9+=+1  and y+=+-x%2B3 

 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