Ti solve the system of equations below, Becca isolated x^2 in the first equation and then substituted it into the second equation. What was the resulting equation? (equation and choices in pic)

Ti solve the system of equations below Becca isolated x2 in the first equation and then substituted it into the second equation What was the resulting equation class=

Respuesta :

You isolate x^2 which makes it x^2=9-y^2
Then you substitute that into the second equations which gives you answer C!
Hope this helps

Answer:

(C)[tex]\frac{9-y^2}{25}-\frac{y^2}{36}=1[/tex]

Step-by-step explanation:

It is given that there is the system of the equations that are:

[tex]x^2+y^2=9[/tex]      (1)

and [tex]\frac{x^2}{25}-\frac{y^2}{36}=1[/tex]            (2)

Becca isolated [tex]x^2[/tex] from the equation (1) and substituted in equation (2), therefore

From the equation (1), we have

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

Substituting this in equation (2), we get

[tex]\frac{9-y^2}{25}-\frac{y^2}{36}=1[/tex]

This is the resulting equation.

Thus, option C is correct.