Solve the System $$\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}$$

question 79

Multiple Choice

Solve the system. If there is more than one solution, write the general solution.
- $$\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}$$

• A) No solution; inconsistent
• B) \(\{ ( - 3 , - 3 , - 5 ) \}\)
• C) \(\left\{ \left[ x , \frac { 5 } { 4 } x + \frac { 57 } { 4 } , \frac { 3 } { 2 } x + \frac { 17 } { 2 } \mid x \right. \right.\) is any real number \(\left. \} \right\}\)
• D) \(\{ ( - 3 , - 4 , - 4 ) \}\)

---

Definitions:

Application Layer

The top layer in the OSI (Open Systems Interconnection) model, where applications access network services to perform user-oriented tasks.

Grid Computing

A form of distributed computing that harnesses the power of multiple computers to process large sets of data or solve complex computational problems.

Peer-to-peer Processing

A method of computing where each participant in a network can act as both a supplier and consumer of resources, sharing their computing power and data directly with others without the need for centralized control.

Internet Backbone

A core network of high-capacity data transmission lines and routers that provides the foundation for high-speed internet access across different regions and countries.