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What are the solutions to the nonlinear system of equations below?
Check all that apply.
x² + y² = 9
[tex] {x}^{2} \frac{ {3}^{2} } - {y}^{2} \frac{ {3}^{2} } = 1[/tex]
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What are the solutions to the nonlinear system of equations belowCheck all that applyx y 9tex x2 frac 32 y2 frac 32 1tex class=

Respuesta :

MannersMakethMan

Answer:

B, E

Step-by-step explanation:

[tex]x^{2} +y^{2}=9[/tex]

[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]1-\frac{2y^{2} }{9} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]-\frac{2y^{2} }{9} =0[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]y^{2} =0[/tex]

[tex]x^{2} =9-y^{2}\\y=0[/tex]

[tex]x^{2} =9\\y=0[/tex]

[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]

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