Solve the System by the Best Method $$\left\{ \begin{array} { c } x + 8 y = - 61 \\8 x + 7 y = - 89\end{array} \right.$$

question 71

Multiple Choice

Solve the system by the best method. Use set notation to express the solution set.
- $$\left\{ \begin{array} { c } x + 8 y = - 61 \\8 x + 7 y = - 89\end{array} \right.$$

• A) no solution; \(\varnothing\)
• B) \(\{ ( - 5 , - 7 ) \}\)
• C) \(\{ ( 5 , - 6 ) \}\)
• D) \(\{ ( - 6 , - 6 ) \}\)

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Definitions:

\(a _ { k + 1 }\)

An element in a sequence, described as the next term (k+1) following the kth term.

\(a _ { 5 }\)

Typically denotes the fifth term in a sequence or series, depending on the context of its use.

\(\left( - \frac { 1 } { 5 } \right) ^ { n }\)

This represents a mathematical expression indicating the nth power of \(-\frac{1}{5}\).

Arithmetic

A branch of mathematics dealing with numbers and basic operations such as addition, subtraction, multiplication, and division.