To substitute into the second equation, you need to get y by itself on one side,
-y = -22x - 23
You would now divide both sides by -1,
y = 22x + 23
Now you can plug in this equation for y,
11x + 12(22x+23) = 1
Now apply 12 to both 22x and 23,
11x + 264x + 276 = 1
Now combine the x's since they are like terms,
275x +276 = 1
Now subtract 276 from both sides to get 273x by itself,
275x = -275
Now divide -275 by 275,
x=

This gives you -1