Question

For the following plane equations:
x + 2y + 3z = 1
2x + 5y + 3z = -1
x + bz = c

Find all values of b and c such that all planes are the same planes.
I've reduced it into the row echelon form but don't know what to do next. Thanks beforehand

Answer 1

"...that all planes are the same planes. "

this implies that all equations must be multiples of each other, but...
the first and second equations have different normals , so they are not parallel

Unless I am missing something here, this question is not possible