Solve the System of Equations Using Elimination $$\left\{ \begin{array} { l } 2 x ^ { 2 } + y ^ { 2 } = 17 \\3 x ^ { 2 } - 2 y ^ { 2 } = - 6\end{array} \right.$$

question 29

Multiple Choice

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { l } 2 x ^ { 2 } + y ^ { 2 } = 17 \\3 x ^ { 2 } - 2 y ^ { 2 } = - 6\end{array} \right.$$

• A) \(x = 2 , y = 3 ; x = 2 , y = - 3 ; x = - 2 , y = 3 ; x = - 2 , y = - 3\)
• B) \(x = 2 , y = - 3 ; x = - 2 , y = 3\)
• C) \(x = 1 , y = 3 ; x = - 1 , y = - 3\)
• D) \(\mathrm { x } = 1 , \mathrm { y } = 3 ; \mathrm { x } = 1 , \mathrm { y } = - 3 ; \mathrm { x } = - 1 , \mathrm { y } = 3 ; \mathrm { x } = - 1 , \mathrm { y } = - 3\)

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Definitions:

Year 2

Refers to the second year of a time-related context or sequence, not a standalone key term without additional context.

Contribution Margin

The amount of revenue remaining after subtracting variable costs, indicating how much contributes towards covering fixed costs and generating profit.

Per Unit

Refers to expressing costs, revenues, or other financial metrics on a per-unit basis to provide a standardized measure.

Absorption Costing

An accounting method that includes all manufacturing costs, both variable and fixed, in the cost of a product, and is used for external reporting purposes.