which equation can be solved by using this system of equations?\n$\begin{cases}y = 3x^{5}-5x^{3}+2x^{2}-10x…

which equation can be solved by using this system of equations?\n$\begin{cases}y = 3x^{5}-5x^{3}+2x^{2}-10x + 4\\y = 4x^{4}+6x^{3}-11end{cases}$\n$3x^{5}-5x^{3}+2x^{2}-10x + 4 = 0$\n$3x^{5}-5x^{3}+2x^{2}-10x + 4 = 4x^{4}+6x^{3}-11$\n$3x^{5}+4x^{4}+x^{3}+2x^{2}-10x - 7 = 0$\n$4x^{4}+6x^{3}-11 = 0$

which equation can be solved by using this system of equations?\n$\begin{cases}y = 3x^{5}-5x^{3}+2x^{2}-10x + 4\\y = 4x^{4}+6x^{3}-11end{cases}$\n$3x^{5}-5x^{3}+2x^{2}-10x + 4 = 0$\n$3x^{5}-5x^{3}+2x^{2}-10x + 4 = 4x^{4}+6x^{3}-11$\n$3x^{5}+4x^{4}+x^{3}+2x^{2}-10x - 7 = 0$\n$4x^{4}+6x^{3}-11 = 0$

Answer

Answer:

B. $3x^{5}-5x^{3}+2x^{2}-10x + 4=4x^{4}+6x^{3}-11$

Explanation:

Step1: Recall substitution principle

In a system of equations $\begin{cases}y = f(x)\y = g(x)\end{cases}$, we can set $f(x)=g(x)$.

Step2: Identify functions

Here $f(x)=3x^{5}-5x^{3}+2x^{2}-10x + 4$ and $g(x)=4x^{4}+6x^{3}-11$.

Step3: Set equations equal

So $3x^{5}-5x^{3}+2x^{2}-10x + 4=4x^{4}+6x^{3}-11$.