Solve the System by the Addition Method \(\Left\{ \Begin{array} { C } 4 X + Y =

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.
- \(\left\{ \begin{array} { c } 4 x + y = 12 \\ 16 x + 4 y = 48 \\ \text { \end{array} \right.\)

A) \(\{ ( 5 , - 8 ) \}\)
B) infinitely many solutions; \(\{ ( x , y ) \mid 4 x + y = 12 \}\) or \(\{ ( x , y ) \mid 16 x + 4 y = 48 \}\)
C) no solution; \(\varnothing\)
D) \(\{ ( 0,12 ) \}\)