Solve the System of Equations Algebraically $$\left\{ \begin{array} { r } x y + 25 = 0 \\49 x - 100 y - 700 = 0\end{array} \right.$$

question 84

Multiple Choice

Solve the system of equations algebraically.
$$\left\{ \begin{array} { r } x y + 25 = 0 \\49 x - 100 y - 700 = 0\end{array} \right.$$

• A) \(\left( 50 , - \frac { 1 } { 2 } \right)\)
• B) \(\left( - 50 , \frac { 1 } { 2 } \right) , \left( 50 , - \frac { 1 } { 2 } \right)\)
• C) \(\left( \frac { 50 } { 7 } , - \frac { 7 } { 2 } \right)\)
• D) \(\left( - \frac { 50 } { 7 } , \frac { 7 } { 2 } \right) , \left( \frac { 50 } { 7 } , - \frac { 7 } { 2 } \right)\)
• E) no solution

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Definitions:

Full Time

Employment status characterized by working a minimum number of hours defined by the employer, typically 35-40 hours per week.

Division of Income

The distribution of a company's earnings among various stakeholders, such as dividends for shareholders or reinvestment into the business.

Half Time

A term typically associated with employment or academic status, indicating a work or study load that is half of what is considered full time.

Ratio

A quantitative relationship between two numbers, showing how many times one value contains or is contained within the other.