x+2y=11
can be written as
x = 11 - 2y
substitute x into the other equation
-8(11 - 2y) + 6y=22
simplify
-88 + 16y + 6y = 22
-88 + 22y = 22
+88 +88 isolate y
22y = 110
----- -----
22 22
y = 5! now add Y into the equation to find X
-8x+6(5)=22
-8x+30=22
- 30 -30
-8x = -8
---- ----
-8 -8
x = 1 (1,5) Is the solution
