Determine if the system has a solution. If so, write the solution in parametric vector form. How does this compare to the solution(s) to the homogeneous linear system with the same coefficients on each variable? -1 + X2 2x1 + 3x2 x1 + X2 5x3 5x3 = x3 = -1 12 5

1. form: Solve the system of equations. Put your solutions, if there is one, in parametric X1 + -X1 + 2x1 X2 + 3x2 - X3 = 0 + 2x3 = 0 X3 = 0 ||

Solve a system of 3 linear equations using Gaussian elimination 2X - 4Y + 6Z = 14 4X - 2Y + 2Z = 8 -6X + 4Y − 4 Z = -20||

will only upvote if ALL parts are answered

x + 3y  =  12 Y=-1/3X-3 b) Classify the lines formed by the system as parallel, perpendicular, or neither. parallel. perpendicular     neither (c) Is the system of equations independent, inconsistent, or dependent? independent inconsistent     dependent

Transform to echelon form and solve the system