Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } x + y + z = 7 \\x - y + 2 z = 7 \\2 x + 3 z = 14\end{array}$$

question 129

Multiple Choice

Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } x + y + z = 7 \\x - y + 2 z = 7 \\2 x + 3 z = 14\end{array}$$

• A) \(\left\{ \left( - \frac { 3 z } { 2 } + 7 , \frac { z } { 2 } , z \right) \right\}\)
• B) \(\left\{ \left( - \frac { 3 z } { 2 } - 7 , \frac { z } { 2 } , z \right) \right\}\)
• C) \(\left\{ \left( - \frac { 3 z } { 2 } + 7,2 z , z \right) \right\}\)
• D) \(\left\{ \left( - \frac { 3 z } { 2 } - 7,2 z , z \right) \right\}\)

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The characteristic of demand for a good indicating that a change in price results in a relatively larger change in the quantity demanded.

Excise Tax

A tax on the sale or use of specific products or transactions, typically integrated directly into the cost of the good.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, often influenced by the availability of substitutes.

Benefits Principle

A concept suggesting that people should pay taxes based on the benefits they receive from government services, aiming for fairness in tax distribution.