Solve the System by the Substitution Method $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 85 \\x + y = - 13\end{array}$$

question 102

Multiple Choice

Solve the system by the substitution method.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 85 \\x + y = - 13\end{array}$$

• A) \(\{ ( - 6,7 ) , ( - 7,6 ) \}\)
• B) \(\{ ( 6,7 ) , ( 7,6 ) \}\)
• C) \(\{ ( - 6 , - 7 ) , ( - 7 , - 6 ) \}\)
• D) \(\{ ( 6 , - 7 ) , ( 7 , - 6 ) \}\)

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Definitions:

Four-Figure Accuracy

A measurement precision indicating that a value is accurate to the nearest thousand, often important in geographical locations or scientific measurements.

Simple Interest

Interest calculated merely on the primary sum, or on the part of the primary sum that remains unsettled.

Nearest Cent

Rounding an amount to the closest cent, often used in financial transactions to ensure accuracy.

One Decimal Place

A numerical value rounded to a single digit following the decimal point.