X + y = 10
Rewrite as y = 10-x
Y - x = 6
Replace y
10-x -x = 6
Simplify:
10-2x = 6
Subtract 10 from both sides:
-2x = -4
Divide both sides by -2:
X = 2
Now replace x in the first equation:
2 + y = 10
Subtract 2 from both sides:
Y = 8
The two numbers are 8 and 2