Answer :
Sure! Let's figure out which equation can be solved by using this system of equations provided. We have several equations written down:
1. [tex]\( 3x^3 - 7x^2 + 5 = 0 \)[/tex]
2. [tex]\( 7x^4 + 2x = 0 \)[/tex]
3. [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
4. [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
The problem is essentially asking us which equation can be established or solved by considering a relationship between the given equations.
In the system of equations we are examining, we are looking for a scenario where one side is set equal to the other. The equation that represents this is when both expressions are equated to each other:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
This equation sets the left expression equal to the right expression from the other equations and forms a crucial part of understanding the relation or solution within the system.
Therefore, the equation that can be solved considering the system of equations provided is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
1. [tex]\( 3x^3 - 7x^2 + 5 = 0 \)[/tex]
2. [tex]\( 7x^4 + 2x = 0 \)[/tex]
3. [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
4. [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
The problem is essentially asking us which equation can be established or solved by considering a relationship between the given equations.
In the system of equations we are examining, we are looking for a scenario where one side is set equal to the other. The equation that represents this is when both expressions are equated to each other:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
This equation sets the left expression equal to the right expression from the other equations and forms a crucial part of understanding the relation or solution within the system.
Therefore, the equation that can be solved considering the system of equations provided is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
