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.Com
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)   (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  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.




RELATED QUESTIONS

3x^3-27x^2+60x=0 (answered by stanbon)
4x^3-27x^2-11x-1=0 (answered by richwmiller)
(x+3)^2+27x+60=0 (answered by Fombitz,fractalier)
I have to solve each system of equations by the elimination method. 3/4x + 1/3y = 1... (answered by checkley77)
I don't know how to solve this! System of equations by the elimination method: x/2 +... (answered by TimothyLamb,MathTherapy)
Use the elimination method to find the TWO solutions of this system. Mark TWO answers. (answered by MathLover1,MathTherapy)
(5y+3)^2+144=0 (answered by jim_thompson5910)
Solve the equations by a method of your choice. 4x^2+15x+9=0 x^2-8x+16=0... (answered by rwm,stanbon,ewatrrr)
Solve this system of linear equations using matrices. x + y = 3 2y = (answered by richwmiller)