Solve the System by the Addition Method $$\left\{ \begin{array} { c } x + 4 y = - 17 \\2 x + 4 y = - 18\end{array} \right.$$

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- $$\left\{ \begin{array} { c } x + 4 y = - 17 \\2 x + 4 y = - 18\end{array} \right.$$

A) $\{ ( 0 , - 1 ) \}$
B) $\{ ( 1 , - 5 ) \}$
C) no solution; $\varnothing$
D) $\{ ( - 1 , - 4 ) \}$