Solve the System A) $\{ ( 3,7,2 ) \}$ B) $\{ ( 3,7 , - 2 ) \}$

question 133

Multiple Choice

Solve the system.
$\begin{array} { l } \frac { 6 } { x } - \frac { 1 } { y } + \frac { 5 } { z } = \frac { 61 } { 14 } \\- \frac { 1 } { x } + \frac { 4 } { y } - \frac { 3 } { z } = - \frac { 53 } { 42 } \\\frac { 7 } { x } - \frac { 1 } { y } - \frac { 1 } { z } = \frac { 71 } { 42 }\end{array}$

• A) \(\{ ( 3,7,2 ) \}\)
• B) \(\{ ( 3,7 , - 2 ) \}\)
• C) \(\left\{ \left( \frac { 1 } { 3 } , \frac { 1 } { 7 } , - \frac { 1 } { 2 } \right) \right\}\)
• D) \(\left\{ \left( \frac { 1 } { 3 } , \frac { 1 } { 7 } , \frac { 1 } { 2 } \right) \right\}\)

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Definitions:

Mesmer

A historical figure known for his work in the development of theories around animal magnetism, which later influenced the practice of hypnotism.

Magnetic Fluids

Liquids that are magnetized or capable of being magnetized, commonly referred to as ferrofluids, used in various technological and medical applications.

Animal Magnetism

An outdated term that referred to a naturalistic healing power or force, postulated by Franz Mesmer, thought to reside within certain individuals.

Sakel

A reference to Manfred Sakel, a psychiatrist known for introducing insulin coma therapy for psychiatric purposes in the 1930s.