Solve the system of linear equations by the method of elimin…

Solve the system of linear equations by the method of elimination. Find (x,y) and check your solution algebraically.​\(\style{font-family:Times New Roman}{\style{font-size:15px}{\left\{\begin{array}{l}x+\text{2}y=\text{6}\\x-\text{2}y=\text{2}\end{array}\right.}}\)​