Answer
$(1,1)$
Work Step by Step
Equation 1 has variables isolated - select the substitution method.
$x=y\qquad $(*)
Replace x with y in the second equation:
$ y+y=2\qquad$ ... and solve for y
$2y=2$
$y=1$
Now, back-substitute into (*)
$x=y$
$x=1$
Form an ordered pair $(x,y) $ as the solution to the system
$(1,1)$