Question

Which equation can be solved by using this system of equations?

Answer 1

Question:

Which equation can be solved by using this system of equations?

y = 3x^3 - 7x^2 + 5

y = 7x^4 + 2x

A.) 3x^3 - 7x^2 +5 = 0

B.) 3x^3 - 7x^2 + 5 = 7x^4 +2x

C.) 7x^4 +2x = 0

D.) 7x^4 +3x^3 -7x^2 +2x + 5 = 0

Answer:

Option B: $3x^{3} -7x^{2} +5=7x^{4} +2x$ is used to solve this system of equations.

Explanation:

The two equations are $y= 3 x^{3}-7 x^{2}+5$ and $y= 7 x^{4}+2 x$

Using substitution method, let us substitute $y= 7 x^{4}+2 x$ in the equation $y= 3 x^{3}-7 x^{2}+5$, we get,

$3x^{3} -7x^{2} +5=7x^{4} +2x$

Thus,  $3x^{3} -7x^{2} +5=7x^{4} +2x$ is used to solve this system of equations.

Hence, Option B is the correct answer.