Determine if the systems are consistent. Do not completely

Chapter 1, Problem 16E

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QUESTION:

Determine if the systems are consistent. Do not completely solve the systems.

\(x_{1}\)                         \(-2 x_{4}=-3\)

           

          \(2 x_{2}+2 x_{3}\)             = 0

                          \(x_{3}+3 x_{4}=1\)

\(-2 x_{1}+3 x_{2}+2 x_{3}+x_{4}=5\)

Questions & Answers

QUESTION:

Determine if the systems are consistent. Do not completely solve the systems.

\(x_{1}\)                         \(-2 x_{4}=-3\)

           

          \(2 x_{2}+2 x_{3}\)             = 0

                          \(x_{3}+3 x_{4}=1\)

\(-2 x_{1}+3 x_{2}+2 x_{3}+x_{4}=5\)

ANSWER:

Solution

Step 1:

We have to determine whether the given system is consistent or not.

Given

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