Create a system of linear equations to describe the behavior. Then, solve the system using Cramer’s Rule. A movie theatre sold tickets to three movies. The tickets to the first movie were $14, the tickets to the second movie were $13, and the third movie was $11. 150 tickets were sold to the first movie. The total number of tickets sold was 370, for a total revenue of $4,760. How many tickets for each movie were sold? Tickets sold for the first movie: Tickets sold for the second movie: Tickets sold for the third movie:

Q: Solve the system, if possible, by using Cram er's rule. If Cramer's rule does not apply, solve the…

A: Explanation of the answer is as follows

Q: Refer to the System of Linear Equations below. 4x1- X2- X3 -D3 -2x1 +6x2 +X3 -9 -X1 +X2 +7xg =-6…

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Q: Which of the following methods does one use for solving a system of linear equations?

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Q: Use Cramer's rule to find the solution to the following system of linear equations. 3x+8y=2 4x+…

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Q: Use the method of Example 8 to find the given linear system. 5x1-3r2 -1 6.r1+2=5 %3D NOTE: Enter…

A: 5x1-3x2=-16x1+x2=5To find the solution

Q: Use Cramer’s Rule to solve (if possible) the system of linear equations.

A: Given system of equations is Firstly, we evaluate the value of determinant of coefficient matrix…

Q: Use Cramer's Rule to solve the following system of linear equations 2л + 3у + 62 3 3 x + 2y + 2z =…

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Q: Find the value of k such that the system of linear equations is inconsistent. 6x 12y -3 - 2х + ky :…

A: k = - 4  The detailed solution is as follows below :

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A: A system is said to be inconsistent if no solution exist. For a1x+b1y=c1, a2x+b2y=c2, if…

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Q: Determine the value of k such that the system of linear equation has infinite number of solution. 4x…

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Q: Use the answer from part (a) to solve the linear system

A: in question inverse of A is given also the matrix B is as below :

Q: Blake and Jacob went shopping for back to school clothes. Blake bought three shirts and one pair of…

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Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 k)y = 2 ky = 5 (1 –…

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Q: What is a system of linear equations in the variables x, y, and z?

A: We have to find the system of linear equations in the variables x, y, and z. We know the linear…

Q: Use Cramer's rule to determine how many solutions the following system of equations has. -4x +2y +…

A: Use Cramer's Rule

Q: What will the value of k be that would make this linear system is consistent? x1 − 4x2 − 6x3  =  -4…

A: To find The value of k is the given linear system is consistent. x1-4x2-6x3=-4 5x1-6x2-5x3=-8…

Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 – k)y = 4 (1 – k)x +…

A: use cramer rule and inconsistent condition for finding the solution.

Q: solve the given system of equations using either Gaussian or Gauss-Jordan elimination.

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Q: solve each problem by setting up and solving an appropriate system of equations. Suppose that on a…

A: Consider the cost of tennis ball be 'x' and the cost of golf balls is 'y'.

Q: Solve the following linear system by Cramer's Rule: -2X - Y- 3Z= -3 2X - Y+ Z= -13 2X – 3Z = -11

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Q: Find the conditions on a,b and c, so that the following linear system of equations have a solution

A: x+2y-3z=a2c+6y-11z=b2x-4y+14z=2c                                                               for…

Q: Solve the following linear system. Show all steps to earn full marks. х+6у—2z %3 2 2х— 5y + 4z —3…

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Q: Use Cramer’s Rule to solve (if possible) the system of linear equations.

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Q: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Consider Annie's age = a Bert's age = b Chris's age = c Given that, the sum of Anni's, Bert's and…

Q: Solve the system, or show that it has no solution. If the system has infinitely many solutions,…

A: Given: 2x-6y = 10-3x +9y = -15 To solve: The given system of equations.

Q: Consider a system of 2 linear equations in 3 variables. Which of the following statements is…

A: Given, We have a  2 linear equations in 3 variables   Now, we have to find the possible solution

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

A: We have been given the equations  x+2y-z=-6        y-3z=-16x-3y+2z=14

Q: The weights W, and W, exerted on each rafter for the roof truss shown in the figure to the right are…

A: We have to solve the given system of equations

Q: Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 k)y = 2 (1 - k)x + ky…

A: Cramer's Rule : Consider the system of equations              ax+by =c             dx +ey =fthen,…

Q: The following table shows some data from a study on substance use among 10th graders in the United…

A: According to the given information it is required to form system of linear equations of four…

Q: Solve the linear system Ax-b, and find all factors P,L,U,D,U' and A-1 4 2 15 10 8 -2 1 8) -14]

A: Given system of equation is written as, AX=B. 25461510-218xyz=28-14 Crammer's Rule: For system of…

Q: Find value(s) of k so that the linear system is consistent? (Enter your answers as a comma-separated…

A: Given,           The  linear systems equations are             6x1-7x2=4             9x1+kx2=-1We…

Q: Which system makes the statement true? "The system has infinitely many solutions" -5x+ 4y = 5 -15x+…

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Q: 5) Solve the system of linear equations by substitution. Sy = 4x – 45 ly = 3x – 7 O (26, 107) O (38,…

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Q: Solve the system by elimination. If the system is inconsistent or has dependent​ equations, say so.…

A: Please refer the attached image for complete solution.

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

A: Let the number of three different packages be x, y, and z.

Q: Find the following system of linear equations by calculating between equations. x, +2x, –x, = 0 2x,…

A: Given equations, x1+2x2-x3=02x1+x2+x3+3x4=5-x1+2x2+x3+4x4=-1x2-x3-x4=2 By multiplying equation 3 by…

Q: O Find the solution of the linear System by Uring A', X, +2 X2+3X3 - 5 2X, +5 X2 + 3 X3 3 übouri X,…

A: Given equations:  x1+2x2+3x3=52x1+5x2+3x3=3x1+8x3=17 Writing this system of linear equation in…

Q: Which of the following is an example of a linear system of equations? O 5x2 +6y = 13 6x - 12y = 14…

A: Proceed as explained below...

Q: Use Cramer’s Rule to solve (if possible) the system of linear equations.

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Q: Solve the linear system [x, y, z]= [0, -2, -12] + s[1, - 1, 2] [x, y, z] = [38, 0, -46] + t[3, 1,…

A: Concept: Linear equations: The collection of two or more linear equations involving the same…

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

A: Use the substitution method to solve the linear system of equations. x-4z=1…

Q: Solve the given system: m1x1''=-k1x1+k2(x2-x1) m2x2''=-k2(x2-x1) when k1=3, k2=2, m1=1, m2=1 and…

A: It is given that, the system and the initial conditions are,

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

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Q: Determine if the system is consistent. If so, is the solution unique? 3x +2y+z2w = -5 x + 3y + 4z +…

A: Sol:- If a system has only one solution , then it is consistent. So first find the solution of the…

Q: Consider a system of the form a11x1 + a12x2 = 0 a21x1 + a22x2 = 0 where a11, a12, a21, and a22 are…

A: If a system of equation has at least one solution, it is said to be consistent. Given system of…