Answer :
We start with the system of equations:
[tex]$$
\begin{cases}
y = 3x^3 - 7x^2 + 5, \\
y = 7x^4 + 2x.
\end{cases}
$$[/tex]
Since both equations are equal to [tex]$y$[/tex], we can set their right-hand sides equal to each other:
[tex]$$
3x^3 - 7x^2 + 5 = 7x^4 + 2x.
$$[/tex]
This is the equation obtained from the system of equations, so the correct answer is:
[tex]$$
3x^3 - 7x^2 + 5 = 7x^4 + 2x.
$$[/tex]
Thus, the system of equations can be solved by using this equation.
[tex]$$
\begin{cases}
y = 3x^3 - 7x^2 + 5, \\
y = 7x^4 + 2x.
\end{cases}
$$[/tex]
Since both equations are equal to [tex]$y$[/tex], we can set their right-hand sides equal to each other:
[tex]$$
3x^3 - 7x^2 + 5 = 7x^4 + 2x.
$$[/tex]
This is the equation obtained from the system of equations, so the correct answer is:
[tex]$$
3x^3 - 7x^2 + 5 = 7x^4 + 2x.
$$[/tex]
Thus, the system of equations can be solved by using this equation.
