Linear Equation

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

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asked by Joc
  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

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    posted by Reiny

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