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Answer :
To solve the given system of equations, we need to find a common equation that can be derived from the two equations provided:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both equations are equal to [tex]\( y \)[/tex], we can set the right-hand sides of these equations equal to each other. This will help us find the equation that can be solved:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
Thus, the equation that can be solved using this system of equations is:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This equation equates the two expressions for [tex]\( y \)[/tex] from the system, and solving it will allow us to find the values of [tex]\( x \)[/tex] that satisfy both original equations.
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both equations are equal to [tex]\( y \)[/tex], we can set the right-hand sides of these equations equal to each other. This will help us find the equation that can be solved:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
Thus, the equation that can be solved using this system of equations is:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This equation equates the two expressions for [tex]\( y \)[/tex] from the system, and solving it will allow us to find the values of [tex]\( x \)[/tex] that satisfy both original equations.
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