Solve the System by the Method of Your Choice $$\begin{array} { l } \frac { x } { 3 } + \frac { y } { 6 } = 1 \\\frac { x } { 4 } - \frac { y } { 8 } = 0\end{array}$$

question 69

Multiple Choice

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
- $$\begin{array} { l } \frac { x } { 3 } + \frac { y } { 6 } = 1 \\\frac { x } { 4 } - \frac { y } { 8 } = 0\end{array}$$

• A) \(\left\{ \left( 3 , \frac { 3 } { 2 } \right) \right\}\)
• B) \(\left\{ \left( \frac { 3 } { 2 } , 3 \right) \right\}\)
• C) \(\left\{ ( x , y ) \mid \frac { x } { 3 } + \frac { y } { 6 } = 1 \right\}\)
• D) \(\varnothing\)

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Definitions:

Perfectly Elastic

A situation in which the demand or supply for a good or service is infinitely responsive to changes in price.

Pure Rent

Pure Rent refers to the income earned from the use of land or other natural resources when supply is perfectly inelastic.

Fixed Supply

A situation where the quantity of a good available is constant and does not change in response to price changes.

One-Of-A-Kind

Unique, without any identical counterpart.