Consider the following system of linear equations: X1 - X2 + 2x3 -X1 + x3 = 41+s (-2x1 + x2 +rx3 = 2 1) For what values of r and s is this system of linear equations inconsistent? 2) For what values of r and s is this system of linear equations have infinitely many = 1 %3D solutions? 3) For what values of r and s is this system of linear equations have a unique solution?

Q: If a system of linear equations has infinitely many solutions, then the system is called _____. If a…

A: System of equations having infinite number of solutions is called dependent system. System of…

Q: How can I create a system of linear equations with the singular solution (4,−32)? How can I define…

A: We will find the system of linear equations and the equation of the line passing through the given…

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A: Given query is to find the solution for the system.

Q: If the solution to a system of two linear equations containing two unknowns is x=3,y=-2, ,then the…

A:

Q: On Tuesday night, the local food truck sold 23 hot dogs and 47 cheeseburgers for a total of $298. On…

A:

Q: If x = 4, y = -7 is the solution of a system of two equations in x and y, then the lines determined…

A:

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A:

Q: Consider the following system of linear equations: x1 – 2x2 + x3 = 2 - -2x1 + 5x2 – 3x3+2x4 = – 1 Xi…

A: Topic-matrix solution and Gaussian solution of equations

Q: Solve the system of linear equation as follows: 2а1 + 22 — х3+ 2х4 421 + 5х2 — 3аз + бх4 -2x1 + 5x2…

A:

Q: this linear system of equations are equal to x-2y+3z=9 -x+3y=-4 2x-5y+5z=17 Select one: а. x+2y+3z=9…

A: We need to find wich set of linear equations will satisfy for the same as the given 3 equations.

Q: Find the general solution of the system: et -1 3

A: According to the given information, it is required to find the general solution of the given system.

Q: 1.) Determine without graphing whether the system of equations has exactly one solution, no…

A: Topic = Coordinate geometry no solution   Since parallel lines never cross, then there can be no…

Q: find the general solution of the given system of equations. 5.x′=(1141)x+(2−1)et

A:

Q: If a system of linear equations has no solution, then the system is said to be __________.

A: If a system of linear equations has no solution, then the system is said to be inconsistent.

Q: If a system of equations is solved by graphing, the solution might be approximate. True O False

A: Given: Statement: If a system of equations is solved by graphing, the solution might be approximate.

Q: If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.

A: If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.…

Q: Consider the system of equations .x – 3y + z = 0, x + ày + 3z = 1, 3x +y + 5z = 2. The values of 2,…

A:

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: If x and y satisfy the system of equations 1/2x+y=0 x−y=3     Then x is equal to

A: We have to find the value of x  If x and y satisfy the system of equations   1/2x+y=0 x−y=3

Q: Which or which of the following is true for AX = 0 homogeneous linear equation system? I. There may…

A: Both (II) and (IV) are true.

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: If a, b, c are real numbers and b different from 0, find the relationships between a, b, c and the…

A: Answer

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: EMILIO Andrea says that a system of two linear equations must have at least one solution as long as…

A: if the lines are parallel they does not have any solution. check the option with same slope and…

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: A certain brand of tea bags comes in packages of 5, 10, and 20 sachets, costing $5, $9, and $15 per…

A: We construct a system for the given information by considering variables x, y and z.

Q: Is it possible for a system of two linear equations in two variables to have exactly two solutions?…

A: Is it possible for a system of two linear equations in two variables to have exactly two solutions?

Q: Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5 Yes,…

A: When we substitute the values of x and y as    x= 1 and y= 3 in given both equations of system then…

Q: The ordered pair (a,b) is a(n). of a system of equations in x and y provided that when x is replaced…

A: Given

Q: If (2, −5) and (−7, 3) both are the solutions of a linear system with two equations, does the system…

A: Given that (2, −5) and (−7, 3) both are the solutions of a linear system with two equations

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

A:

Q: Assume the system below has a unique solution.Does the system composed of Equations 1 and 2 have a…

A:

Q: Is it possible for a system of linear equations with fewer equations than variables to have no…

A: we need 3 equations to solve for 3 variables.

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: A professor wants to create a test that has 12 true-false questions, 8 each multiple-choice question…

A: Solve the following

Q: If a system of linear equations has infinitely many solutions, then the system is called__________ .…

A: The lines may be parallel. In this case, the equations have no solution (inconsistent pair of…

Q: : For a 4 x 4 linear system AX = O if (3, 0,0,0) is a solution for this system, Then

A:

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

A:

Q: Consider the following system of llinear equations. 1/3x+y=5/4 2/3x-4/3y=5/3 Part A: What…

A: The linear equations 13x+y=5423x-43y=53 we have to solve these equations by eliminating methods.

Q: If a system of linear equations has two different solutions, then it must have infinitely many…

A:

Q: If a system of equations produces 0=0 by the elimination method, it has no solutions. O True O False

A: System of equations have solution of three types 1. One solution If X = a1 and Y = a2 , where a1 and…

Q: Suppose that a homogeneous system of equations has basic solutions 1and 3 Let c be a real number.…

A: Step:-1 Note:-  As we know determinant of a matrix is zero if the columns (or Rows) of the matrix…

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: If the linear system Ax 0 has at most one solution then Ax b must have at most one solution. true…

A: We have to check true or false

Q: Consider the following system of linear equations 2х, — Зх, + хз — Зх4 + 2x; %3D 6 2x1 – 3x2 + 5x3 –…

A: As per the instruction, we will be answering only the first one. Given: For (1), Here, we need to…