Gauss's Method works by combining the equations in a system to make new equations.
(a) Can we derive the equation 3x - 2y = 5 by a sequence of Gaussian reduction steps from the equations in this system?
x + y = 1
4x - y = 6
(b) Can we derive the equation 5x-3y = 2 with a sequence of Gaussian reduction steps from the equations in this system?
2x + 2y = 5
3x + y = 4
(c) Can we derive 6x - 9y + 5z = -2 by a sequence of Gaussian reduction steps from the equations in the system?
2x + y - z = 4
6x - 3y + z = 5