which equation is part of solving the system by substitution?\n$\begin{cases}x + y=11\\4x^{2}-3y^{2}=8end{cas…

which equation is part of solving the system by substitution?\n$\begin{cases}x + y=11\\4x^{2}-3y^{2}=8end{cases}$\n$4(y + 11)^{2}-3y^{2}=8$\n$4(11 - y)^{2}-3y^{2}=8$\n$4(y - 11)^{2}-3y^{2}=8$\n$4(-11y)^{2}-3y^{2}=8$

which equation is part of solving the system by substitution?\n$\begin{cases}x + y=11\\4x^{2}-3y^{2}=8end{cases}$\n$4(y + 11)^{2}-3y^{2}=8$\n$4(11 - y)^{2}-3y^{2}=8$\n$4(y - 11)^{2}-3y^{2}=8$\n$4(-11y)^{2}-3y^{2}=8$

Answer

Explanation:

Step1: Isolate x from first - equation

From $x + y=11$, we get $x = 11 - y$.

Step2: Substitute x into second - equation

Substitute $x = 11 - y$ into $4x^{2}-3y^{2}=8$, we have $4(11 - y)^{2}-3y^{2}=8$.

Answer:

$4(11 - y)^{2}-3y^{2}=8$ (corresponding to the second option in the multiple - choice list)