SOLUTION: Solve by elimination {{{4x^2+3y^2=12}}} {{{x^2+3y^2=12}}}

Algebra.Com
Question 140322: Solve by elimination








Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given system





Multiply both sides of equation 2 by -1





Distribute and multiply





Now add the equations together




Combine like terms


Divide both sides by 3


Take the square root of both sides



Go back to the second equation


Plug in


Simplify


Divide both sides by 3


Take the square root of both sides


or


So when , or



-------------------------------------

Answer:

So our solutions are

(0,2) and (0,-2)

RELATED QUESTIONS

solve by elimination: 4x+3y=1... (answered by Alan3354)
Solve each system by elimination(show work) 12.-x+3y=-1... (answered by Alan3354)
Solve the system by substitution, elimination, or graphing: 4x-3y=2... (answered by CharlesG2)
solve by elimination method 4x+3/5-2-3y/4=x+y 5x/6+ 3y/4=2x+4y+3 (answered by Alan3354)
x-3y=13 5x+3y=2... (answered by njusa)
Solve the system: 4x + 3y = 12 x + y = 2 (answered by jojo14344)
Solve each system by elimination: 4x-3y=-2... (answered by checkley71)
solve using elimination x+y+z=-2 x+y-z=2... (answered by Edwin McCravy)
Solve each of the following systems by graphing. 6. 4x + 3y = 12 x + y = 2 (answered by jim_thompson5910)