Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } 8 x ^ { 2 } - 2 y ^ { 2 } = - 42 \\2 x ^ { 2 } + 4 y ^ { 2 } = 102\end{array} \right.$$

question 29

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } 8 x ^ { 2 } - 2 y ^ { 2 } = - 42 \\2 x ^ { 2 } + 4 y ^ { 2 } = 102\end{array} \right.$$

• A) \(( 1,5 ) , ( 1 , - 5 )\)
• B) \(( 1,5 ) , ( - 1 , - 5 )\)
• C) \(( - 1,5 ) , ( - 1 , - 5 )\)
• D) \(( 1,5 ) , ( 1 , - 5 ) , ( - 1,5 ) , ( - 1 , - 5 )\)
• E)no solution exists

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Definitions:

Short-Run Supply Curve

A graphical depiction showing the relationship between the price of a good and the quantity supplied over a short period, wherein some inputs are fixed.

Long-Run Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity supplied over a long period, accounting for adjustments in all factors of production.

Short-Run Supply Curve

A graphical representation showing the relationship between the price of a good and the amount that producers are willing to supply, over a short period.

Output

The quantity of goods or services produced by a firm, industry, or economy in a given time period.