Solve the System by the Addition Method $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

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.
- $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

A) $\{ ( - 1 , - 5 ) \}$
B) no solution; $\varnothing$
C) $\{ ( 2 , - 5 ) \}$
D) $\{ ( - 2 , - 4 ) \}$