Solve the System by the Method of Your Choice $$\begin{array} { l } 5 y = 42 - 4 x \\2 x = 46 - 5 y\end{array}$$

Multiple Choice

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
- $$\begin{array} { l } 5 y = 42 - 4 x \\2 x = 46 - 5 y\end{array}$$

A) $\{ ( - 2,10 ) \}$
B) $\{ ( 5 , - 10 ) \}$
C) $\{ ( x , y ) \mid 4 x + 5 y = 42 \}$
D) $\varnothing$