Question

To solve the system of equations below, Zach isolated x in the first equation

Answer 1

"To solve the system of equations Zach isolated x^2 into the first equation and then substituted it into the second equation.What was the resulting equation

x^2 + y^2 = 25

x^2 / 16 - y^2 / 9 = 1

Answer:

$81-25 y^{2}=0$ is the resulting equation

Solution:

According to question,

To solve the given system of Equations  Zach isolated $x^2$ from  the first equation

Given first equation is:

$x^{2}+y^{2}=25$

Separating $x^2$ term, we get

$x^{2}=25-y^{2}$   ------ eqn 1

And then substituted it into the second equation which is given below:-

$\frac{x^{2}}{16}-\frac{y^{2}}{9}=1$

Substituting eqn 1 in above equation we get,

$\frac{25-y^{2}}{16}-\frac{y^{2}}{9}=1$

$9 \times\left(25-y^{2}\right)-16 y^{2}=144$

$225-9 y^{2}-16 y^{2}=144$

$81-25 y^{2}=0$

Which is the required equation