Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l l } x - y & + 4 z = 3 \\3 x & + z = 0 \\x + 5 y & + z = - 15\end{array}$$

question 189

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l l } x - y & + 4 z = 3 \\3 x & + z = 0 \\x + 5 y & + z = - 15\end{array}$$

• A) Cramer's rule does not apply since \(\mathrm { D } = 0\); \(\varnothing\)
• B) \(\{ ( 0,0 , - 3 ) \}\)
• C) \(\{ ( 0 , - 3,3 ) \}\)
• D) \(\{ ( 0 , - 3,0 ) \}\)

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Definitions:

Dense Fibrous Connective

Tissue in the body composed of tightly packed collagen fibers, providing strength and rigidity to structures like tendons and ligaments.

Outpouching

A bulging or protrusion of a part of an organ or tissue.

Bony Fish

Fish that possess a skeleton primarily composed of bone tissue, as opposed to cartilage.

Dense Irregular Connective Tissue

A type of connective tissue with densely packed fibers arranged in a disorderly fashion, providing strength and flexibility to structures like the dermis.