Answer
$(9,1)$
Work Step by Step
The equations are in standard form. The coefficients of y are $\pm 1$,
which makes y easy to eliminate by adding ... we use the elimination method.
Add the equations:
$ 2x=18\qquad$ ... and solve for x
$x=9$
Now, back-substitute into one of the initial equations
$x+y=10$
$9+y=10$
$y=1$
Form an ordered pair $(x,y) $ as the solution to the system
$(9,1)$