SOLUTION: Solve the system of equations by using the elimination method. {9x^2+5y^2 = 45 {6y^2 − 27x^2=54 (3, 0), (-3, 0) (3, 0), (0, -3) (0, 3), (-3, 0) (0, 3), (0, -3)

Algebra ->  Equations -> SOLUTION: Solve the system of equations by using the elimination method. {9x^2+5y^2 = 45 {6y^2 − 27x^2=54 (3, 0), (-3, 0) (3, 0), (0, -3) (0, 3), (-3, 0) (0, 3), (0, -3)       Log On


   

Question 1078728: Solve the system of equations by using the elimination method.
{9x^2+5y^2 = 45
{6y^2 − 27x^2=54
(3, 0), (-3, 0)
(3, 0), (0, -3)
(0, 3), (-3, 0)
(0, 3), (0, -3)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
HINT. 

Multiply the first  equation by  2 (both sides); 
Multiply the second equation by  3 (both sides); 


then distract the second from the first.


In this way you will eliminate the terms with x%5E2 and reduce the system to one single equation for "y".


Solve it for "y" and then restore "x".

Good luck !!


To see more samples of similar solved problems, look into the lesson
    - Solving systems of algebraic equations of degree 2
in this site.