Solve the system of linear equations. (If the system is dependent, express your answer in terms of t, where x = x(t), y = y(t), and z = t.

Question

Solve the system of linear equations. (If the system is dependent, express your answer in terms of t, where x = x(t),

 y = y(t),

 and z = t.

 If the system is inconsistent, enter INCONSISTENT.)

	x	+	2y	−	3z	=	−3
−2x	−	4y	−	6z	=	6
3x	+	7y	−	2z	=	−8
(x, y, z) =

 

 

Answer 1

By Gaussian elimination, the row echelon form is

1 2 -3 -3

0 1 7 1

0 0 -12 0

Which gives x=-5, y =1 and z =0.

If you do not know how to do Gaussian elimination to get the row echelon form, make a comment and I will try to help further.