Answer :
To determine which equation can be solved using the given system of equations, let's take a closer look at the two equations we have:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a relationship involving these two equations, we can set them equal to each other because they both equal the same variable [tex]\( y \)[/tex]. This gives us:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
By setting the two expressions for [tex]\( y \)[/tex] equal, we get an equation that involves only [tex]\( x \)[/tex]. This is the equation that can be solved using the given system of equations.
Thus, the correct answer is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
Therefore, the equation we can solve using the system of equations provided is:
[tex]\[ 3 x^3 - 7 x^2 + 5 = 7 x^4 + 2 x \][/tex]
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a relationship involving these two equations, we can set them equal to each other because they both equal the same variable [tex]\( y \)[/tex]. This gives us:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
By setting the two expressions for [tex]\( y \)[/tex] equal, we get an equation that involves only [tex]\( x \)[/tex]. This is the equation that can be solved using the given system of equations.
Thus, the correct answer is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
Therefore, the equation we can solve using the system of equations provided is:
[tex]\[ 3 x^3 - 7 x^2 + 5 = 7 x^4 + 2 x \][/tex]
