Question

solve using matrices and row-reduction. if there is no solution, indicate why. if there are an infinite number so solutions, give the general form of the solution.
x + 2y + z = 6
2x + y - 4z = 3
x + 3 y + 3z = 9

Answer 1

Given equations are x+2y+z = 6

2x+y-4z = 3

x+3y+3z = 9

To solve use the row -reductions

Given system is dependent system, infinity  many solutions.

 x-3z = 0

y+2z  = 3

General form of the solution is x = 3z and y = -2z+3.