Answer
$(0,2)$
Work Step by Step
Adding the two equations will eliminate $x$.
The resulting equation:
$2y=4\qquad/\div 2$
$y=2$
Back substitute into one of the initial equations:
$2x+y=2$
$2x+2=2\quad/-2$
$2x=0$
$x=0.$
Solutions are ordered pairs (x,y):
$(0,2)$
Check graphically by graphing both lines in the same window and determining the intersection (see image).