Find values of a and b such that the system of linear equations (x, y, and z are variables) x + 4y + z = 0 ах + 5у —z %3D 1 2x + by + z = 0 has: (1) exactly one solution, and (2) no solution.

Q: Solve the system of linear equations in terms of a, where a = y. -2x+2y-z=1 2x-2y+z=1

A: We are given system of equations as

Q: II. Solve the system of equations 2x - y = 3 (3x + 2y = 1

A: The given system of equations are: 2x-y=3                . . . i3x+2y=1              . . . ii We…

Q: Determine if the system of linear equations is inconsistent or dependent x-y+3z=3 4x-8y+32z=25…

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Q: Is the point (0, 0) a solution of the system of linear equations below? 2x + y= 2 4x - 2y = 2 %3D…

A: We can check and find the answer as below using the concept of pair of linear equation with two…

Q: Determine the rank of the system of linear equations below and if a solution exists: x₂ + 2x3 + 3x4…

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Q: X1 + x2 – 3x3 +4x4 = 0 X1 + x2 – 4x3 +5x4 +2 2x1 + 5x2 – 11x3 + 9x4 – 5 = 0 = 0 -x1 – 4x2 + 10x3 –…

A: As per Bartleby guidelines we're supported to answer only first question when two or more different…

Q: 12. Solve the system linear equations. X₁+x₂-3x3-X₂ = 1, {x₁+3x₂-9x3-7X4=1, (3x₁+x₂-3x3 + 3x₁ = 3.

A: Please find attachment

Q: Find the number of real solutions (x,y) of the system of equations x³ + y² + y² = 0, x² + x²y + xy²…

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Q: Find all solutions to the following system of linear equations: 1x1 + 2x2 + -2x3 + Oxs -1 %3D 2x1 +…

A: The augmented matrix is given as 12-20-125-3-21-1-14-36011-23 Now convert it to row reduced echelon…

Q: Find all real solutions to the following system of equations: (r+y)2020 = z (y + z)2020 = r (2 +…

A: Given: The equations are

Q: The linear equations -3x-y = 3 and 6x + 2y = 1 is said to be %3D O inconsistent O independent…

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Q: 2. Solve the system of linear equation as follows: x3 + 2x4 4.x1 + 5x2 – 3x3 + 6x4 -2x1 + 5x2 – 2x3…

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Q: Solve the system of linear equations given by 2 X1 + 4 X2 + 6 X3 = 22 3 X1 + 8 X2 + 5 X3 = 27 - X1+…

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