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. $\left\{ \begin{array} { l } 2 x + 7 y = \frac { 112 } { 9 } \\7 x + 8 y = \frac { 62 } { 9 }\end{array} \right.$

A) $\left( \frac { - 14 } { 9 } , \frac { 20 } { 9 } \right)$
B) $\left( \frac { 20 } { 9 } , \frac { - 14 } { 9 } \right)$
C) $\left( \frac { 20 } { 9 } , \frac { 14 } { 9 } \right)$
D) $\left( \frac { 14 } { 9 } , \frac { 20 } { 9 } \right)$
E) $\left( \frac { 14 } { 9 } , \frac { - 20 } { 9 } \right)$