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 (x,y) and check your solution algebraically. $\left\{ \begin{array} { c } 5 x + 3 y = 6 \\3 x - y = 5\end{array} \right.$

A) $\left( \frac { 3 } { 2 } , \frac { 1 } { 2 } \right)$
B) $\left( - \frac { 3 } { 2 } , \frac { 1 } { 2 } \right)$
C) $\left( \frac { 3 } { 2 } , - \frac { 9 } { 2 } \right)$
D) $\left( - \frac { 3 } { 2 } , - \frac { 1 } { 2 } \right)$
E) $\left( \frac { 3 } { 2 } , - \frac { 1 } { 2 } \right)$