Solve the System of Linear Equations by the Method of Elimination.Find

Multiple Choice

Solve the system of linear equations by the method of elimination.Find (r,s) and check your solution algebraically.​ $$\left\{ \begin{array} { c } 2 r + 4 s = 7 \\16 r + 50 s = 77\end{array} \right.$$ ​

A) ​ $\left( \frac { 7 } { 6 } , - \frac { 7 } { 6 } \right)$
B) ​ $( 7,77 )$
C) ​ $\left( \frac { 7 } { 6 } , \frac { 7 } { 6 } \right)$
D) ​ $\left( - \frac { 7 } { 6 } , \frac { 7 } { 6 } \right)$
E) ​ $\left( - \frac { 7 } { 6 } , - \frac { 7 } { 6 } \right)$