Use Matrices to Solve the System of Equations (If Possible) $$\left\{ \begin{array} { c } 4 x + 9 y + z = - 17 \\6 x - 6 y - 8 z = 12 \\9 x + 8 y + z = - 43\end{array} \right.$$

question 39

Multiple Choice

Use matrices to solve the system of equations (if possible) .Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.​ $$\left\{ \begin{array} { c } 4 x + 9 y + z = - 17 \\6 x - 6 y - 8 z = 12 \\9 x + 8 y + z = - 43\end{array} \right.$$

• A)x = 5,y = -1,z = -6
• B)x = -5,y = -1,z = -6
• C)x = -5,y = 1,z = -6
• D)x = 1,y = 5,z = 6
• E)no solution

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Definitions:

Pronator Teres

A muscle in the forearm that helps in pronating the wrist, turning the hand so the palm faces downwards or backwards.

Buccinator

A muscle of the cheek that plays a significant role in the action of chewing and assists in manipulating food in the mouth.

Supinator

A muscle in the forearm that rotates the forearm and hand outward, as in turning the palm up.

Extensor Digitorum

A muscle in the forearm that extends the fingers and thumb, facilitating hand movements.