Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = - 7 \\x - y = - 9\end{array} \right.$

question 121

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = - 7 \\x - y = - 9\end{array} \right.$

• A)
• \(\left( \frac { 9 + \sqrt { 345 } } { 3 } , \frac { - 18 + \sqrt { 345 } } { 3 } \right) , \left( \frac { 9 + \sqrt { 345 } } { 3 } , \frac { - 18 - \sqrt { 345 } } { 3 } \right) , \left( \frac { 9 - \sqrt { 345 } } { 3 } , \frac { - 18 + \sqrt { 345 } } { 3 } \right)\), \(\left\{ \frac { 9 - \sqrt { 345 } } { 3 } , \frac { - 18 - \sqrt { 345 } } { 3 } \right\}\)
• B)
• \(\left\{ \frac { - 18 + \sqrt { 345 } } { 3 } , \frac { 9 + \sqrt { 345 } } { 3 } \right) , \left( \frac { - 18 + \sqrt { 345 } } { 3 } , \frac { 9 - \sqrt { 345 } } { 3 } \right) , \left( \frac { - 18 - \sqrt { 345 } } { 3 } , \frac { 9 + \sqrt { 345 } } { 3 } \right)\),
• \(- 18\) \(\varnothing\)
• C) \(\varnothing\)
• D) \(( 0,0 )\)

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Definitions:

Multiple Departmental Rate

A method used in cost accounting whereby different overhead rates are applied to respective departments within a company, reflecting their varying costs.

Plantwide Overhead Rate

A single overhead absorption rate used throughout an entire factory or plant, calculated by dividing total overhead costs by total base units, often labor hours or machine hours.

Volume-Related Measures

Metrics that determine the effects of production or sales volume changes on costs and revenues.

Overhead Costs

Expenses not directly tied to the production of goods or services, like rent, utilities, and administrative costs.