hskylar131
hskylar131 hskylar131
  • 11-07-2021
  • Mathematics
contestada

Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43

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aaronkfeng1218
aaronkfeng1218 aaronkfeng1218
  • 11-07-2021

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

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