Answered: Please describe how to solve a linear…

Math

Advanced Math

Please describe how to solve a linear system by row reduction and give an example yourself.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 5SE: Can you explain whether there can be only one method to solve a linear system of equations? If yes,...

See similar textbooks

Related questions

Q: Explain why a system of two equations with three variables cannot have exactly one ordered triple as…

Q: List the different scenarios for the possible number of solutions that a system of two linear…

A: A linear equation is basically an equation for straight line with the representation of y=mx+c.

Q: What are the 2 methods to solving a system of linear equations by graphing by hand?

A: We need to find the method of solving a system of linear equations by graphing by hand. Let's start.

Q: Give an example of a linear system that has no solution.

A: The system of linear equation can have many solutions, one solution and no solutions. The linear…

Q: If two linear equations have the same graph, then the associated system has infinitely many…

A: Concept:

Q: Describe what happens when using algebraic methods to solve a system with dependent equations.

A: To determine what happens when using algebraic methods to solve a system with dependent equation.

Q: ) Describe the three possible solutions to a system of equations.

A: Solution of system of equations

Q: Define Absolute system of Linear Equations?

A: We need to define absolute system of linear equations.

Q: . A system of linear equations with more equations than unknowns is sometimes called an…

A: Given: The system of linear equation with unknown lesser than the equations.

Q: If a system of linear equations has infinite solutions, what will the graph look like?

A: Here, we need to find what will the graph look like if a system of linear equations has infinite…

Q: Explain Linear Systems?

Q: Please solve for linear system (b)

A: The dynamical system dxdt=f(x,y) and dydt=g(x,y) are said to be linear, if the right hand side of…

Q: A system of linear equations with more equations than unknowns is sometimes called an overdetermined…

Q: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

A: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

Q: What is the solution to this system: * 2.

A: The two lines intersect at (2,3) So, the solution of the system is, (2, 3)

Q: A system of linear equations with fewer equations than unknowns is sometimes called an…

Q: Describe in general terms how to solve a system in three variables.

A: The system in three variables is solved by two methods. 1. Substitution method. 2. Elimination…

Q: Provide an example of a linear system in standard form that had one solution and explain why your…

A: We know that a a system of linear equations has one solution when the graphs intersect at a point…

Q: If a system of equations is solved by graphing, the solution might be approximate. TRUE OR FALSE

Q: Make a question with a complete solution Solving linear systems having no solution using the…

A: We make a question and solve linear systems having no solution using the row-echelon form.

Q: Describe a situation in which the addition method is an efficient technique to solve a system of…

A: Situation:For two positive numbers, sum of their squares = 74 and subtraction of their squares= 24.…

Q: If a system of equations has infinitely - many solution, what does the graph look like?

A: A system of equations has infinite solutions , when all the equations have exactly the same graph…

Q: Explain how to solve a graphing. system of linear equations by

Q: The sum of three numbers is 9. Three times the smallest is 2 less than the largest. While the sum…

Q: What is a system of equations?

A: The system of equations is a set of equations.

Q: Describe four ways of solving a system of three linearequations containing three variables. Which…

A: Solution:To describe four ways of solving a system of three linear equations containing three…

Q: Make a question with a complete solution Solving linear systems having infinitely many solutions

A: We make a question & solution for Solving linear systems having infinitely many solutions.

Q: Draw a second line on the graph in order to demonstrate a system of equations with no solution .…

A: here we need to draw a second line such that the system has no solution so the system has no…

Q: Which system of equations is represented by the graph?

Q: Explain whether it is possible for a consistent system of linear equations to have EXACTLY TWO (not…

A: Explain whether it is possible for a consistent system of linear equations tohave EXACTLY TWO (not…

Q: Let a non-homogeneous system A7 = b have a unique solution. How many solutions does the system A7 =…

A: Given that the non-homogeneous system Ax→=b→ has unique solution.It is required to find the number…

Q: When graphing a system of equations with no solution, the slopes of the two will be________. ¿The…

A: As per given by the question, When graphing a system of equation with no solution, the slope of the…

Q: Without graphing identify the kind of system and state whether the system of linear equations has…

A: We know that the pair of linear equations in two variables x and y a1x + b1y + c1 = 0 a2x + b2y + c2…

Q: When solving a system of linear equations in two variables using the substitution or addition…

A: By definition,“Inconsistent system: A system of linear equations with no common solution because…

Q: What is co-ordinated system?

A: We have to define co-ordinated system. Co-ordinated system is system in geometry in which we…

Q: Find the general solution of the system.

A: Introduction: Eigenvalues are a unique set of scalar values associated with a set of linear…

Q: what is meant by system of nonlinear equations?

A: A system of two or more equations having two or more variables containing at least one equation that…

Q: Each equation in a system of linear equations has the same slope. What are the possible solutions…

A: Given: Each equation in a system of linear equations has the same slope. What are the possible…

Q: If the real solutions to a system of equations are the points at which the graphs intersect, what…

A: If the real solutions to a system of equations are the points at which the graphs intersect We have…

Q: Suppose you graph a system of linear equations. if a point is on only one of lines, is it a solution…

Q: Determine if (7,4) is a solution of the system,

A: Given,

Q: A system of equations that has no solution is called an __________ system.

A: To fill: The statement “A system of equations that has no solution is called an _______ system.

Q: When using the addition or substitution method, how can you tell if a system of two linear equations…

A: Topic to be described- How to found system of two linear equations with 2 variables have no…

Q: Without graphing identify the kind of system and state whether the system of linear equations has…

A: Given, The system of equations are y=32x+12 3x-2y=-12We…

Q: When using the addition or substitution method, how can you tell if a system of two linear equations…

Q: Write the solution of the linear system corresponding to the reduced augmented matnx.

A: Since the last row is 0, so, this system will have many solutions. Let, x3=t From the second row we…

Question

Please describe how to solve a linear system by row reduction and give an example yourself.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Systems of Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Can you explain whether there can be only one method to solve a linear system of equations? If yes, give an example of such a system of equations. If not, explain why not.
In your own words, explain the advantages and disadvantages of solving a system of equations by graphing.
Can a system of linear equations have exactly two solutions? Explain why or why not.
Can any matrix be written as a system of linear equations? Explain why or why not. Explain how to write that system of equations.
How can you tell when a system of three linear equations with three variables has no solution? Infinitely many solutions?
Given a system of equations, explain at least two different methods of solving that system.
Write a system of three equations in three variables with an infinite number of solutions.
Explain whether a system of two nonlinear equations can have exactly two solutions. What about exactly three? If not, explain why not. If so, give an example of such a system, in graph form, and explain why your choice gives two or three answers.