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Answer :
To determine which equation can be solved using the given system of equations, let's analyze the system:
The system of equations is:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both expressions are equal to [tex]\( y \)[/tex], we can set the right-hand sides of these equations equal to each other to find the relationship between them. This gives us:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
This equation represents the condition where both expressions for [tex]\( y \)[/tex] are equal. Thus, this is the equation that can be solved using the system of equations provided.
In summary, the equation that can be solved with the given system is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
The system of equations is:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
Since both expressions are equal to [tex]\( y \)[/tex], we can set the right-hand sides of these equations equal to each other to find the relationship between them. This gives us:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
This equation represents the condition where both expressions for [tex]\( y \)[/tex] are equal. Thus, this is the equation that can be solved using the system of equations provided.
In summary, the equation that can be solved with the given system is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
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