Given the system of equations:
[tex]\begin{cases}5y=10x{} \\ x^2+y=36{}\end{cases}[/tex]
Given that Miguel isolated the variable in equation 1 and then substituted it into the second equation.
Let's find the resulting equation.
Divide both sides in equation 1 by 5 to isolate the y-variable:
[tex]\begin{gathered} \frac{5y}{5}=\frac{10x}{5} \\ \\ y=2x \end{gathered}[/tex]
Now, substitute 2x for y in the second equation.
We have:
[tex]x^2+2x=36[/tex]
Therefore, the resulting equation is:
[tex]x^2+2x=36[/tex]
ANSWER: B
[tex]x^2+2x=36[/tex]
