Consider the following system of equations:
1. X+Y-Z=1
2. 2X-5Y+Z=-1
3.7X-7Y-Z=k
Determine the value(s) of k for which the solution to this system is line.

Question

Consider the following system of equations:
1. X+Y-Z=1
2. 2X-5Y+Z=-1
3.7X-7Y-Z=k
Determine the value(s) of k for which the solution to this system is line.

anonymous · Answer

how will i know if the intersection of  planes is a plane, a line, a point or no intersection using system of equations?

anonymous · Answer

I'm not sure I understand your question. What exactly are you trying to find?

loser66 · Answer

are you in linear algebra or calculus3?

anonymous · Answer

vectors..
I understand that part.. but how will i know if the intersection of planes is a plane, a line, a point or no intersection using ONLY system of equations without solving it?

anonymous · Answer

@Loser66

loser66 · Answer

make up augmented matrix, and rref it, if its rank is 1--> intersect at a point
rank is 2 intersect at a line, rank is 3 intersect at a plane.

anonymous · Answer

i'm not doing matrix..

loser66 · Answer

OH man!!! so I am sorry. I don't know how to solve without using matrix

anonymous · Answer

oh ok......