The system of equation x + 2y +z = 0, x +y = 0,x – z = 0 has A. a trivial solution only B. no solution C. infinitely many solutions D. non-trivial unique solution E. None of the above

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A: Given,

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Q: x - 1 5 = y - 2 3 Z - 2 1 2xy +z = 10

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Q: 3. Show that x= 10, y = 4, and z =7 is a solution to the system below without solving the system…

A: Given: x + 2y + z = 25  4x - y - 5z = 1  - 2x - y + 8z = 32

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

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Q: Is (1,6) a solution to this system of equations? 5z + y = 11 2z + 3y = 20 %3D Answer:

A: Explanation of the answer is as follows

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Q: Is \left(1,3\right)(1,3) a solution to this system of equations? ​ ​ 4x+5y=19\newline…

A: Yes (1,3) is the solution of system of equation

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Q: How should the coefficients a, b, and c be chosen so that the system ax + by- 3 z = --24 -2 x- by +…

A: Given,              ax+by-3z=-24              -2x-by+cz=26               ax+3y-cz=-15

Q: 20 Is (4,1) a solution to the system of equations below? x + 2y = 5 -2x + 3y = -3 %3D

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Q: The solution to the linear system x + y + z = 5 2x + 3y+ 5z = 8 4x + 5z = 2 3 4 2 -- y N O

A: solution:-

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Q: )For what value(s) of a and b is the system inconsistent?  b)For what value(s) of a and b is the…

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Q: The following system of equation has: x- y- z 4 2x - 2y- 2z 8 5x - 5y- 5z 20 a) Unique Solution b)…

A: Given that: x-y-z=42x-2y-2z=85x-5y-5z=20

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

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Q: 4. Find the solution to a system of equations by the addition method. Solution in (x, y) form: 4x +…

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A: x2+4y2=13             (1)x2-4y2=5               (2)⇒x2=5+4y2     Put value x2 in equation (1)  5+4y2…

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A: Solve equation 4 we get equation 1

Q: Consider the system x+ 2y – 3z = 4 3x – y + 5z = 2 4.x + y + (a² – 14)z = a +2 where a is an…

A: From the given equation we make two matrices.1. matrix of order 3×3 with the coefficients of x, y…

Q: 1. By using back-substitution to solve the systems a) x - y = 4, 2y + z = 6, 3z = 6; b) -x+y - z =…

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

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Q: If x, y and z satisfy the system of equations below: 5а — у + 2х = 0 - -5x + 2y – 2z 1 5а — у + 52 3…

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

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Q: 9. — 3x+y=1 4x+2y=0

A: Given  -3x+y=14x+2y=0

Q: What value of t ensures the following system of equations has infinitely many solution 3r + ( - 4)y…

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Q: 7. The general solution to the system of equations given by I1 - 12 +23 + I, = 1, 4.x, - 4x2 + 3x3 +…

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