- #1
Gurvir
- 19
- 0
Homework Statement
Determine the value of k for which the system
x + y + 2z = 3
x + 2y -4z = -3
2 + 8 + kz = -29
has no solutions.
Homework Equations
None
The Attempt at a Solution
Converting to a matrix
1 1 2 3
1 2 -4 -3
2 8 k -29
r2=r2-r1
1 1 2 3
0 1 -6 0
2 8 k -29
r3=r3-2r1
1 1 2 3
0 1 -6 0
0 6 (k-4) -35
r3=r3-6r2
1 1 2 3
0 1 -6 0
0 0 (k+32) -35
So then I figured that:
(k + 32)z = -35
k = (-35/z) - 32
But the problem is I'm doing this online and the solution has to be a real number without variables. So I think I may have gone wrong somewhere. How do I solve for k?