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Answer :
To determine which equation can be solved by the given system of equations, let's analyze the system:
We have two equations:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both equations represent [tex]\( y \)[/tex], we can find when they are equal to each other by setting them equal:
1. Set the expressions for [tex]\( y \)[/tex] equal:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This results in the equation:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
Therefore, the equation that can be solved using this system of equations is:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This matches one of the options given in the problem:
- [tex]\(3x^3 - 7x^2 + 5=7x^4+2x\)[/tex]
This is the equation that can be derived from the given system of equations, and it aligns with the choice provided.
We have two equations:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both equations represent [tex]\( y \)[/tex], we can find when they are equal to each other by setting them equal:
1. Set the expressions for [tex]\( y \)[/tex] equal:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This results in the equation:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
Therefore, the equation that can be solved using this system of equations is:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This matches one of the options given in the problem:
- [tex]\(3x^3 - 7x^2 + 5=7x^4+2x\)[/tex]
This is the equation that can be derived from the given system of equations, and it aligns with the choice provided.
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