1. Create the systems of linear equations (3 variables) that have: a. no solution b. infinite solutions C. unique solution. Show your arguments why your systems have such properties.

Q: A system with parallel lines has an infinite number of solutions. O True O False

A: Two parallel line never intersect each other.

Q: what would the solution of the system of equations and what would the interpret solution appears to…

A:

Q: 2) Describe the set of solutions to this system of linear equations: w+x +z-0 +y+z= x+y -1 +2-1

A: The given linear system of equations: w + x + z=0     -    equation 1 w + y + z=1     -    equation…

Q: 3. Is the point (5, 3) a solution to the system of equations below? You must show correct work to…

A:

Q: If a system produces a true statement but the variables drop out, the system has no solutions. TRUE…

A: Given :              If a system produces a true statement but variables drop out, the system has…

Q: If the lines that make up a system of two linear equations are coincident, then the system…

A: We have to fill in the blanks.

Q: (c) If the a 5 x 7 system is consistent, then the general solution has exactly 2 parameters.

A:

Q: . For a system of two linear equations in two variables,(a) How many solutions are possible?(b) What…

A: (a).                          Three possible solutions to a linear system in two variables :…

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

A: In this question we have to find the solution for two equations having same graph

Q: Show that x = 2, y = 1 is a solution of the system of simultaneous linear equations. 3x - 2y = 4 %3D…

A: Answer

Q: a) Consider the following system of linear equation: x+ y+z =-2 2x- y+2z = 1 x+ y + pz = q What is…

A:

Q: -) Find the values of the parameters a and B, for which the system 4+B 2x +. ay + y %3| ique…

A:

Q: A dietitian wishes to plan a meal around three foods. The percentage of the daily requirements of…

A: a)  Let x represents the quantity of food I, y represents the quantity of food II and z represents…

Q: Mark the following statement true or false: Every system of linear equations has a solution

A: The given statement is false. Let's take a counterexample. x+2y=3    …(1)2x+4y=12   …(2) From the…

Q: an audotorium has three diifferent classrs of seats: center seats cost $155, side seats cost $70,…

A: To find the mix of seating in the auditorium?

Q: If (a, b, c, d) is a solution to a linear system, then the equations of the linear system have at…

A: (a,b,c,d ) is a solution to a linear system, Then (a,b,c,d) ∈ R4

Q: What can you say about the solutions to the consistent nonhomogeneous linear system Ax = b if the…

A: The rank of A of a consistent nonhomogeneous linear system Ax = b is less than the number of…

Q: 1) Choose the best answer. If two lines in a linear system they have exactly one point in common.…

A:

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: Given, 2x+4y−z=2x+2y−3z=−43x−y+z=1 In matrix form, 24−112−33−11xyz=2−41 In echelon form,…

Q: C) In the system of linear equations, Ax = b, • when does such a system have no solution? • when…

A:

Q: Consider a system of linear equations in two variables in which the solution set {(x,x + 2) | x is…

A: Given,A system of linear equations in two variables in which the solution set {(x, x + 2) | x is any…

Q: Find the best approximation to a solution of the linear system 2л + у 3 1 х — у %3D 2 - x + 5y = 3

A:

Q: If the lines that make up a system of two linear equations are coincident, then the system is______…

A: To fill: The blanks of the statement. Given: The statement is "if the lines that make up a system of…

Q: Show that x = 2, y = 1 is a solution of the system of simultaneous linear equations. 3x - 2y = 4 2x+…

A:

Q: 9. Find the general solution to the system of linear equations Ax = b with 2 4 0 1 (2 1 -2 A = b = 2…

A:

Q: Describe the set solution of the following system of linear equations using Gauss-Jordan and its…

A:

Q: 7. The general solution to the system of equations given by x1 - x2+ x3+x4 = 1, %3D 4x1- 4x2 + 3x3 +…

A: The given system is…

Q: If the linear system -3z + 4 y 6 z %3D -6 z 5 y 7 z 6. 15 z + 32 y + hz k %3D has infinitely many…

A:

Q: If the linear system -3 x 7 y 4 z 7 8 x + бу 5 z 5 29 x + 17 y hz k and h = has infinitely many…

A: The augmented matrix for the linear system is:

Q: 1. Consider the following system of linear equations: T1 + kx2 = 2 kai + x2 + 3 = 1 x1 + x2 + x3 = k…

A:

Q: 3. What is the solution to a system with parallel lines?

A: As parrallel lines never cross ,and there is no interaction between them

Q: Determine whether each of the following statements is true or false, and explain why.;If a system of…

A: Given: If a system of equations has three equations and four unknowns, then it could have a unique…

Q: For which values of a and b does the system have no solution? exactly one solution? infinitely many…

A:

Q: If (a, b, c, d) is a solution to a linear system, then the system has four equations. True False

A: Let a=1 , b=1, c=1 and d=-3

Q: A special diet needs to include exactly 340 units of calcium, 180 units of iron, and 220 units of…

A: (a) Obtain the amount (in ounce) of each type of food used for the diet as follows. Let x1…

Q: If f a system of tow equations in two variables has infinitely many solutions, then it is…

A: Here we have to determine the true and false statements.

Q: What is the solution of the system of linear equations y= 4x + 1 and 2x +y= 13 O A. (1,5) о в. (5,3)…

A:

Q: 1. Solve the system of equations. * y = 5x Зх + у %3D 16 O (3,5) O (2,10) O (8,16) O (10,2)

A: given,        y=5x                       eq.13x+y=16               eq.2

Q: Consider the general system of linear equations with unknowns x and y and a1, a2, b,, b2, c1,c2 ER.…

A: Given- Conside the general system of linear equations with unknown x and y a1x+b1y=c1a2x+b2y=c2 To…

Q: 13. Sketch the solution to the system: x -3 y < x +3

A:

Q: What would you have to know about the solution set of a homogeneous system of 18 linear equations in…

A:

Q: Verify that the following linear system does not have an infinite number of solutions for all…

A:

Q: What can you conclude about a system of equations if the corresponding reduced row-echelon form…

A: Given:

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: Illustrate the general system of n first-order linear equations?

A: What is System of first order Linear Equation: When there is more than one first order differential…

Q: Determine the solution to the linear system Ax = b and write it in the form x = x, + X, for

A:

Q: Consider the following system of linear equations. 9. 4. 4 4 3 1 6 7 3 5. z= 10

A: Given -94x-54y-74z=232x+12y+12z=674x+34y+54z=10

Q: Can a system of two linear equations have exactly two solutions? Why or why not? Yes, straight lines…

A: A straight line is the line with a single slope and no bends. The straight line does not change its…