2. Solve the following systems using Gaussian Elimination with Backward substitution: (a) √ x − 3y = 6 - | 2x+y=4 (b) (c) 2x−y+z = 1 4x+y-z = 5 x+y+z = 0 3x-2y+z = 0 x+y-z=0 x+y+z=-2

Use Cramers Rule to solve the system of linear equations for x and y. kx+(1k)y=1(1k)x+ky=3 For what values of k will the system be inconsistent?

Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d 6X4A-3B=0

Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.