?

Free Version
Easy

# Solving a System

LINALG-2WGXBQ

Suppose that you are given the linear system:

\begin{align} 2x + 3y + z & = 1 \\\ x – y – z & = 0 \\\ 0x + 2y + 2z & = 2 \end{align}

Determine if the system is consistent and, if so, find all solutions.

A

The system is inconsistent.

B

The system is consistent with unique solution $(1,-1,2)$.

C

The system is consistent with unique solution $(1,0,2)$.

D

The system is consistent with solution set $\{ (t,-t,t2): t \in \mathbb{R} \}$.

E

The system is consistent with solution set $\{(t,0,2t): t \in \mathbb{R} \}$.