Question: Consider a linear system below: 3x + y + 2z + 5t = 1 x + 2y z + 2t = 0 4x +

Consider a linear system below:

3x + y + 2z + 5t = 1
x + 2y − z + 2t = 0
4x + 3y + z − 7t = c

Find:
(a) find c such that the system is consistent.
(b) solve the system with c found in the previous task (a).

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