x + y = 9
-10x + 6y = 6
x + y = 9 → x = 9 - y (1) note......this isolates x
-10x + 6y = 6 (2)
Sub (1) into (2)
-10 ( 9 - y) + 6y = 6 simplify
-90 + 10y + 6y = 6
-90 + 16y = 6 add 90 to both sides
16y = 96 divide both sides by 16
y = 6 and using (1), x = 9 - 6 = 3