Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)

x − 2y + z = 5
2x − 5y + 6z = 11
2x − 3y − 2z = 9

Question

Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If there is no solution, enter NO SOLUTION.)
 

x	 − 	2y	 + 	z	 = 	5
2x	 − 	5y	 + 	6z	 = 	11
2x	 − 	3y	 − 	2z	 = 	9

anonymous · Answer

$$x=3+7t$$
$$y=-1+4t$$
$$z=t$$

anonymous · Answer

The answer is listed like (x,y,z) usually integers.

anonymous · Answer

This one says to answer in terms of t though.

anonymous · Answer

You gave the equation in parametric sense. I mean You could easily use cramer's rule in this case.

anonymous · Answer

X = Det Ax/Det a