For the following system to be consistent, 6 z 3х + + 7y —9 х + + 6 y + kz 21 x 5 y 22 z -6 we must have, k + ||

Q: A. SOLVE THE FOLLOWING SYSTEMS as directed: 1. by SUBSTITUTION: y = 2x + 4 ---(1) 3x + y = 9 -(2)

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Q: Select all of the following that are equivalent systems to x + 2y + 3z = 4 2x + 3y + 4z = 5 %3D 3x +…

A: Given that x+2y+3z=4 2x+3y+4z=5 3x+4y+5z=-6

Q: For the following system to be consistent, 3x+ 6y-4z = -3 41x+50y+kz =-44 %3D 8x+ 8y-2z = -8 ve must…

A: Using the matrix notation, the systems of the equation can be expressed in the form AX=B. The…

Q: For the following system to be consistent, 5x-5y+4z -3 43z-5y+kz = 4 7x+5y+8z 2 %3D we must have, k…

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Q: for the following system the Wronskian equal uz =2u1+uz Select one: а. 2t O b. ce2" C. ce ¬2r d. -2t…

A: We will use basic knowledge of the theory of Wronskian and some knowledge of matrix properties, like…

Q: Find a general solution for each of the following systems. a - (', ;). A.1. x' = Ax where A : 3

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: For the following system to be consistent,−7x−7y−5z=3 −29x−11y+kz=4 4x-5y−7z=4 we must have, k≠

A: To find the values of k for which the given three simultaeneous equations have a common solution

Q: For the following system to be consistent, 4х- бу+4z 3 -7 Ох-4бу+kz %3D-60 -3х- Ту-5z % -9 we must…

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Q: The system A x=b is consistent if Rank(A) is less or equal Rank(A|b) Select one: True False

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Select the two systems that are equivalent to each other. Oy = - 3x +4 y = 3x – 2 O 4x +y = 2| x - y…

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Q: r the following system to be consistent, 3z + 7y + 3z + 8y + 5z = -4 kz = 9 y + 19 z 2 -5 e must…

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Q: Find the value of m which makes each system inconsistent. 1. Y = mx +3 Y = 4x -2 2. 3x – 4y = 8 Y…

A: We have to find the value of m when system of equation is inconsistent. System of equation would be…

Q: Find the general solution of the following systems. Show your calculations clearly (a) y₁ = 6y₁ +9y2…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: If the following system is consistent, 6 x 8 y 6 24 y = 21 then k +

A: If there system of linear equation is  ax+by=cdx+ey=f the system is consistent if  ad≠be

Q: For the following system to be consistent, -6x-7y-5z = 4 -34x-3y+kz = 5 -8r+9y-7z =-6 we must have,…

A: The given system is                                         -6x-7y-5z=4-34x-3y+kz=5-8x+9y-7z=-6 The…

Q: Consider the following system of equ a+ 2y + z = 7 3y - z = 9 (k² – 36)z = (k + 6) %3D - This system…

A: See the details solution in below

Q: 2x - 2y + z = 0 5y+x - 7z = 3 x − 3z − y = −7 -

A: 2x-2y+z=05y+x-7z=3x-3z-y=-7 matrix from 2-2115-71-1-3xyz=03-7 which is of the form AX=b where…

Q: For the following system to be consistent, 4х— бу+4z %3D -7 Ох-4бу+kz %3D-60 — 3х— 7у-5z % -9 we…

A: Given system of equation4x-6y+4z=-70.x-46y+kz=-60-3x-7y-5z=-9Here we find the value k such that…

Q: Consider the linear system Ax =b. Find x given: -1 -1 1 A1 = 3 -1| and b = -4 -4 1 1 3 X =

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Q: Determine whether the system of equation is 4x + 8y-2z = 14 x-11y + 4z = 3 10x - 6y + 4z = 6 a.…

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Q: Consider the following system; X1 +x2 + 3x3 – 2x4 = 0 2x, + 3x2 + 7xз — 2х4 %3D 9 Зх, + 5x, + 13х3-…

A: Given set of equations: x1+x2+3x3-2x4=02x1+3x2+7x3-2x4=93x1+5x2+13x3-9x4=1 We an write the given set…

Q: For the following linear system 2х — у — 2 — 5 2у + 2z — 4 = 8 2x – Y Then Ay = Select one: O -4

A: Given system of equations is:  2x-y-z=5 2y+2z=42x-y=8 We have to find ∆y.

Q: 2x − 3y = −1 4x + 3z = 4 2y3z = -2

A: Given equation can be written as: 2x-3y+0z+1=04x+0y+3z-4=00y+2y-3z+2=0 Charmer's Rule to find x, y,…

Q: For the following system x +y+2z = 0 a2 + y? + 22 = 3 d?z then (1) = dæ?

A: Given equations are, x+y+2z=0x2+y2+z2=3 Take the derivative for the first equation,…

Q: Verify that the ordered triple (-4,6,3) is a solution of the following system. Do not use a…

A: Given. We are given a system of linear equations with 3 variables and 3 equations. We need to verify…

Q: Find the solution of the following system using Gauss elimination. (Enter your answers as a…

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Q: Solve the Following linear systems us Causs Flimination 5 X + 6y-37= 66 2) 9 X -y+2Z=8 8X-7Y+47=-39…

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Q: Is (8, 5) a solution to the following system: 5x - 4y 20 %3D 3y = 2x + 1 O No O Yes

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Q: The following system 1 x-y- 1 -Z = 4 2 5x +5y- 4z = 0 1 3 X --v + -Z= 2 has the solution (x, y,…

A: Explanation:

Q: and output Y[K] ulk], the or the following system, if the input X[k]=6(k esponse is h[k]- A.k.…

A: hint : hello i can tell only the which option is correct , as you only told me to tell answer in…

Q: Which of the following systems has a unique solution? 2x - y= -1 3x - 2y + z =4 3x - 2y - z = -4…

A: Which of the following systems has a unique solution?2x - y= -1 3x - 2y + z =4 3x - 2y - z = -4 AND…

Q: Consider the following system: x+ 2y + 2z = -8, 2x +3y + 17z = -16, x+y+ (k² – 1)z = 2k. Then the…

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Q: Solve the following system if possible (ie find point or line of intersection) and classify it using…

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Q: x + 2y = m 3x + 6y = n

A: Given equations are x + 2y = m.          ... (1) 3x + 6y = n.         ...(2) For existence of…

Q: For the following system to be consistent, 4х- бу+4z %3D-7 Ох-4бу+kz %3D-60 -3х- Ту-5z %3D-9 | ve…

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Q: For the following system to be consistent, -5x 6 y 3z = 6х + 9у + kz -8 19x + 30 y 39 z -34| we must…

A: Augmented matrix of given system is -5-6-3⋮-769k⋮-81930-39⋮-34 Now R1→-15R1…

Q: Consider the following system. 2x-3y-z=1 -x-y+z=2 4x-y-3z -3 Choose the best description of its…

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Q: +y+ z= 5 N=4 (k² – 9)z = (k - 3) This system is inconsistent if

A: in given system we have to find inconsistent solution:- if a system has no solution , it is said to…

Q: For what value of k is the following system consistent? x + y = 2 kx + y = -1 x + ky = 15 A. -6 В. 4…

A: The given system is: x+y=2kx+y=-1x+ky=15

Q: Answer the following questions for the following system. dr, = 2x, – 4x2 dt dr, = 4x, + 20, dt

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Q: Show that the following system does not have periodic solutions. x =- x3- xy2- 2x   y= 4x2y + y

A: Solution: Given dxdt=-x3-xy2-2x dydt=4x2y+y

Q: solve the following system of quation x-2y+z=0 2y-4z=4 -4x+5y+6z=-9

A: Given:-  System of equations x-2y+z=0 2y-4z=4 -4x+5y+6z=-9   Method:-  I use carmer's rule to solve…

Q: Q3: find x, y and z for the following system by using Gramer's rule? 1 - 3 x 2 z - 5 2 z + 1 2 у = -…

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Q: Consider the following system: x + 3y + az = -2, x - y+ bz = 1, 2x + 4y + cz = -3. 1 3 a If 1 -1 6…

A: In this question we have to find the value of z that which we can find by using the cramer rule

Q: Solve the following system of IVP: -3 3 x' = Ax where A =-2 -1 1 and x(0) 21 %3D 3.

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Q: Use the fact that 4 4 3/4 1 −1= 1 −4 −3/4 4 to solve the system 4x+4y=44 3/4x+y=9 .…

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Q: Obtain an equivalent system by performing the stated elementary operation on the system. Multiply…

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Q: For the following system to be consistent, 2x1 – 5x2 – 4r3 = 6 7x1 læ2 + kaz -3 321 8x2 + 9x3 4 we…

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Q: Suppose the system + 5x3 7x4 %3D X2 - - x3 X4 2x2 + + 16x4 has infinitely many solutions. Can you…

A: Given that the system x1−x2+5x3−7x4=0        x2+x3−x4=0x1−2x2+x3+16x4=0........1 has infinitely many…

Q: If the following system 20 z + 16 y -8 35 x + ky -11 is consistent, then k +

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