Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{array} { l } 7 x - 3 y - 9 z = 22 \\2 x + y + 3 z = - 3 \\2 x - 7 y - 3 z = - 17\end{array} \right.$$

question 46

Multiple Choice

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
$$\left\{ \begin{array} { l } 7 x - 3 y - 9 z = 22 \\2 x + y + 3 z = - 3 \\2 x - 7 y - 3 z = - 17\end{array} \right.$$

• A) \(x = - 1 , y = - 4 , z = - 3\)
• B) \(x = 1 , y = - 4 , z = - 3\)
• C) \(x = 1 , y = 4 , z = - 3\)
• D) \(x = 4 , y = - 1 , z = 3\)
• E) no solution

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Definitions:

Harry Harlow

An American psychologist best known for his research on social isolation, maternal-separation, and dependency needs of rhesus monkeys, which played a significant role in understanding human emotional and social development.

Surrogate Mother

A woman who agrees to bear a child for another person or couple, who will become the child's parent after birth.

Rhesus Monkeys

A species of monkey native to South, Central, and Southeast Asia, known for its importance in biological and medical research.

Harry Harlow

An American psychologist best known for his maternal-separation, dependency needs, and social isolation experiments on rhesus monkeys, which highlighted the importance of care-giving and companionship in social and cognitive development.