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 determine which equation can be solved using the given system of equations, we need to analyze and compare the equations:
The system of equations given is:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a common equation from the given choices, let's follow these steps:
1. Set the two expressions for [tex]\( y \)[/tex] equal to each other:
Since both equations define [tex]\( y \)[/tex], we can set them equal to each other for comparison:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This equation directly matches one of the options provided:
- [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
2. Express the equation in a standard polynomial form:
- Rearrange the equation by moving all terms to one side:
[tex]\[
0 = 7x^4 + 3x^3 - 7x^2 + 2x + 5
\][/tex]
This re-arranged equation also matches one of the provided options:
- [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
Therefore, both of these equations can be derived from the given system of equations:
- [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
- [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
These are the equations that can be solved using the given system.
The system of equations given is:
1. [tex]\( y = 3x^3 - 7x^2 + 5 \)[/tex]
2. [tex]\( y = 7x^4 + 2x \)[/tex]
To find a common equation from the given choices, let's follow these steps:
1. Set the two expressions for [tex]\( y \)[/tex] equal to each other:
Since both equations define [tex]\( y \)[/tex], we can set them equal to each other for comparison:
[tex]\[
3x^3 - 7x^2 + 5 = 7x^4 + 2x
\][/tex]
This equation directly matches one of the options provided:
- [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
2. Express the equation in a standard polynomial form:
- Rearrange the equation by moving all terms to one side:
[tex]\[
0 = 7x^4 + 3x^3 - 7x^2 + 2x + 5
\][/tex]
This re-arranged equation also matches one of the provided options:
- [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
Therefore, both of these equations can be derived from the given system of equations:
- [tex]\( 3x^3 - 7x^2 + 5 = 7x^4 + 2x \)[/tex]
- [tex]\( 7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0 \)[/tex]
These are the equations that can be solved using the given system.
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
