For the following system to be consistent, 3x-6y + 7z + kz - 3z 13x- Oy -2x-9y we must have, k ‡ = - 4 - 25 7

Q: How many solutions does the following system have? 2а — 2у + 42 4а — 4у + 52 4 2z 4

A: Condition for infinite many solution is : a1/a2= b1/b2= c1/c2 for two variable function

Q: In a chess match a win of 1 game counts 1 point, a draw counts as 1/2 point and a loss as 0. after…

A: We have given a chess game Number of matches = 14 Win of 1 game = 1 point Draw of 1 game = 1/2 = 0.5…

Q: Determine the solution to the following system: 3x+20y 8z 15 - 20x+15y-7z = 28 6x+5y4z = 7

A: The solutions are,x=1,y=1,z=1 Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the solution of the following system 21 + 2r2 + *3 + 2r4 = 0 2x1 + 4r2 + r3 + 3r4 = 0. 3ri +…

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Q: for what value of k,will the following system of equations have infinity many solutions?2x + 3y =…

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Q: Determine if the system is consistent. If so, is the solution unique? 2x + 4y - z+5w = 9 -3x − 3y +…

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Q: + 29x - 72

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Q: What should be the value of k in the system of equation below for it to be inconsistent? 6x + 2y…

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Q: For what values of h and k in the system below has (a) no solution, (b) a unique solution and (c)…

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Q: Apply a theorem from the lecture to determine if there is a choice of rational numbers a, b, c, d…

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Q: Solne the following system of (2x-34+42031 2x t4-2チこー12 メ-24:2z2ー12

A: The given system of equation is 2x-3y+4z=31, 3x+y-2z=-12, x-2y-2z=-17.

Q: 4. Find the solution to this system of equations 10x+6y*16 -10x+5y 50 s

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Q: If A= -4 -3 -2 0 3 4 0 -1 -3 and B= -2 -2 2 4 1 1 2 -4 -1   4A-3B=

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Q: 4x-3y 6 18x-6y -6 What is the solution? How do you know that a system will have an empty set? What…

A: Solution- (a) Given that  4x-3y=6               ⋯⋯18x-6y=-6            ⋯⋯(2)

Q: For the following system to be consistent, 7x15x21x3 = - 9x1 + 1x2 + kx3 = 6x17x25x3 = -8 Submit…

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Q: If ( x+2 y)= -4 and am = 6, then 2amx+4amy %3D %3D O 2 О -24 О 48 О 24 O 4

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Q: Explain why the following system has no solution 5x-3y-z= 6 2x + y-7z =-10 7. 3.

A: To explain why the given system has no solution.

Q: Solve each system using substitution or elimination. y = -2x - 9 y = -3 y = x + 1 8x - 7y = -5 32)…

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Q: What is the value of x+y in the system? a. 1 b. 5 5x-6y=8 -7x+12y=-22 C. -5 d. -1

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Q: xi + 2x2 – 3x3 = -2 3x1 – x2 – 2.x3 = 1 2x1 + 3x2 – 5x3 = k 1. Find the value of k for which the…

A: For consistent rank of the matrix is same as rank of augment matrix

Q: A professor in a university is trying to conduct a research study. His study is trying to determine…

A: Introduction: It is required to identify the confounding variable, and suggest a solution to fix it.

Q: Given that B = M-¹AM, check whether B is similar to A and C. -2 A = (²₁2); M = ( 1); C = ( 2² -15) 0…

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Q: Spencer says that the point (5,-5) is a solution to the system. Is Spencer correct? Why or why not?…

A: From the above graph we can observe that (5, - 5) is the point on dashed line which is not in…

Q: Evaluate the following ordered triples to determine which is the solution of the system 3x + 2y - 3z…

A: 3x+2y-3z=-9 3x+2y-z=-17 x+2y-3z=-3

Q: The linear system 3x3 = -6 3x3 0 x2 6x1 + 7x2 + 3x3 = 12 - = is not in echelon form. Begin by…

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Q: What is the solution of the following system? |-2x-y 1 %3D (-4x - 2y = -1 %3D O A. infinitely many…

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