We appreciate your visit to Which equation can be solved by using this system of equations tex begin cases y 3x 3 7x 2 5 y 7x 4 2x end. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem, we need to determine which equation from the list can be obtained by using the given system of equations. Let's walk through the process step-by-step:
We are given the system of equations:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a relationship between these equations, we can set them equal to each other because they both represent [tex]\( y \)[/tex]:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
The goal is to rearrange this into one of the given equation options. Let's move all terms to one side of the equation to see if it matches any of the provided options:
[tex]\[ 3x^3 - 7x^2 + 5 - 7x^4 - 2x = 0 \][/tex]
Now, let's rearrange the terms:
[tex]\[ 7x^4 - 3x^3 + 7x^2 - 2x - 5 = 0 \][/tex]
As we can see, this matches exactly with the equation provided as:
[tex]\[ 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \][/tex]
The correct option is:
[tex]\[ 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \][/tex]
Therefore, the equation from the list that can be solved by using the given system of equations is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
We are given the system of equations:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a relationship between these equations, we can set them equal to each other because they both represent [tex]\( y \)[/tex]:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
The goal is to rearrange this into one of the given equation options. Let's move all terms to one side of the equation to see if it matches any of the provided options:
[tex]\[ 3x^3 - 7x^2 + 5 - 7x^4 - 2x = 0 \][/tex]
Now, let's rearrange the terms:
[tex]\[ 7x^4 - 3x^3 + 7x^2 - 2x - 5 = 0 \][/tex]
As we can see, this matches exactly with the equation provided as:
[tex]\[ 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \][/tex]
The correct option is:
[tex]\[ 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \][/tex]
Therefore, the equation from the list that can be solved by using the given system of equations is:
[tex]\[ 3x^3 - 7x^2 + 5 = 7x^4 + 2x \][/tex]
Thanks for taking the time to read Which equation can be solved by using this system of equations tex begin cases y 3x 3 7x 2 5 y 7x 4 2x end. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
