Solve the System by the Addition Method $$\left\{ \begin{array} { l } 2 x - 5 y = 5 \\3 x - 4 y = 5\end{array} \right.$$

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.
- $$\left\{ \begin{array} { l } 2 x - 5 y = 5 \\3 x - 4 y = 5\end{array} \right.$$

A) no solution; $\varnothing$
B) infinitely many solutions; $\{ ( x , y ) \mid 2 x - 5 y = 5 \}$ or $\{ ( x , y ) \mid 3 x - 4 y = 5 \}$
C) $\left\{ \left( \frac { 5 } { 7 } , - \frac { 5 } { 7 } \right) \right\}$
D) $\left\{ \left( - \frac { 5 } { 7 } , \frac { 5 } { 7 } \right) \right\}$