Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

question 139

Multiple Choice

Apply Gaussian Elimination to Systems with More Variables than Equations
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

• A) \(\left\{ \left( - \frac { 7 } { 5 } z + \frac { 34 } { 5 } , \frac { 2 } { 5 } z + \frac { 11 } { 5 } , z \right) \right\}\)
• B) \(\left\{ \left( \frac { 3 } { 5 } z + \frac { 16 } { 5 } , - \frac { 8 } { 5 } z + \frac { 29 } { 5 } , z \right) \right\}\)
• C) \(\left\{ \left( \frac { 27 } { 5 } , \frac { 13 } { 5 } , 1 \right) \right\}\)
• D) \(\varnothing\)

Identify the steps involved in the decision-making process.

Recognize common mistakes in the problem identification and definition phase of decision-making.

Understand how pre-set solutions (programmed decisions) apply to structured problems.

Comprehend the role of intuition in solving unanticipated problems.

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Definitions:

Marginal Social Benefit

the additional benefit to society as a whole from consuming one more unit of a good or service.

Marginal Social Cost

The additional cost imposed on society as a whole by producing one more unit of a good or service.

Marginal Benefit Curve

A visual chart illustrating the variation in consumer advantage as the amount of a product or service rises.

Private Market

A part of the financial market in which financial instruments and assets are traded that are not available on the public stock exchanges.