Question

to solve the system of equations below, miguel isolated the variable y in the first equation and then substituted it into the second equation. what was the resulting equation?

Answer 1

Given the system of equations:

`\begin{cases}5y=10x{} \\ x^2+y=36{}\end{cases}`

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:

`\begin{gathered} (5y)/(5)=(10x)/(5) \\ \\ y=2x \end{gathered}`

Now, substitute 2x for y in the second equation.

We have:

`x^2+2x=36`

Therefore, the resulting equation is:

`x^2+2x=36`

ANSWER: B

`x^2+2x=36`