Question

Complete the following steps: Create a system of linear equations that is consistent. graph your system...

Complete the following steps: Create a system of linear equations that is consistent.

graph your system of linear equations.

Determine the number of solutions of your system.

Create a system of linear equations that is inconsistent.

graph your inconsistent system of linear equations.

Create a system of linear equations that is dependent.

graph your dependent system of linear equations

. Part II: Based on your work in Part I, discuss the following: Discuss how you can verify that the system you created is consistent. Discuss what options there are for the number of intersection points of two lines and how they relate to the number of solutions to its system. Discuss the characteristics that are shared by all graphs of inconsistent systems of linear equations. How does the graph of the dependent system reflect the algebraic finding that the system is dependent? How does being a dependent system affect the number of solutions the system has? What type of real-world scenarios could the graph of a linear system model? What do you look for in a real-world scenario that can be modeled by a linear system? Set up, but do not solve, a word problem with real-world context that can be modeled using a linear system of equations. Then answer the following: What would it mean in the context of your problem if the linear system is dependent? What would it mean in the context of your problem if the linear system is inconsistent?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Set up, but do not solve, a word problem with real-world context that can be modelled...
Set up, but do not solve, a word problem with real-world context that can be modelled using a linear system of equations. Then answer the following: 1. What would it mean in the context of your problem if the linear system is dependent? 2. What would it mean in the context of your problem if the linear system is inconsistent?
Solve the following system of linear equations using the techniques discussed in this section. (If the...
Solve the following system of linear equations using the techniques discussed in this section. (If the system is dependent assign the free variable the parameter t. If the system is inconsistent, enter INCONSISTENT.) x1 − x3 = −4 2x2 − x4 = 0 x1 − 2x2 + x3 = 0 −x3 + x4 = 2 (x1, x2, x3, x4)
Find the values of a and b for which the following system of linear equations is...
Find the values of a and b for which the following system of linear equations is (i) inconsistent; (ii) has a unique solution; (iii) has infinitely many solutions. For the case where the system has infinitely many solutions, write the general solution. x + y + z = a x + 2y ? z = 0 x + by + 3z = 2
The augmented matrix below represents a system of linear equations associated with a real world prob-...
The augmented matrix below represents a system of linear equations associated with a real world prob- lem. The augmented matrix has already been completely row reduced. 1 0 6 12  0 1 −2 0  0000 (a) Use the reduced matrix to write down the parametric solution for the system as a point (x, y, z).    (b) Assuming that x, y, and z represent the number of whole items, determine how many “actual” solutions this system has, and...
1. Analyze and interpret graphs 2. Graph linear equations, inequalities and functions using a variety of...
1. Analyze and interpret graphs 2. Graph linear equations, inequalities and functions using a variety of techniques 3. Find the average rate of change for application problems 4. Write linear equations in slope-intercept, point-slope and standard forms 5. Model real-world problems using functions Describe in a word document how you will be able to use these objectives in both your personal and professional lives.
How can graphing methods be used to solve a system of linear equations, and how can...
How can graphing methods be used to solve a system of linear equations, and how can you determine the equations of the two lines by analyzing the graph?
How can graphing methods be used to solve a system of linear equations, and how can...
How can graphing methods be used to solve a system of linear equations, and how can you determine the equations of the two lines by analyzing the graph?
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0...
Solve the following system of linear equations: 3x2−9x3 = −3 x1−2x2+x3 = 2 x2−3x3 = 0 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. If the system has infinitely many solutions, your answer may use expressions involving the parameters r, s, and t. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
1. a) Find the solution to the system of linear equations using matrix row operations. Show...
1. a) Find the solution to the system of linear equations using matrix row operations. Show all your work. x + y + z = 13 x - z = -2 -2x + y = 3 b) How many solutions does the following system have? How do you know? 6x + 4y + 2z = 32 3x - 3y - z = 19 3x + 2y + z = 32
Write two linear equations with two variables that model something from your daily life. Solve the...
Write two linear equations with two variables that model something from your daily life. Solve the system of equations in two ways. Discuss which method you liked better and why. In your responses to peers, contrast your preferences for how to solve systems of equations.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT