If you rearrange things a bit, you get
x - 6y = 2
3x - 18y = 4
which is the same as
x - 6y = 2
x - 6y = 4/3
The lines are parallel, so there is no intersection, and no solution to the equations.
Your answer fits the 2nd equation, but not the first.
How do you solve this by substitution?
x=6y+2
3x-18y=4
This is the answer I get:
3(6y+2)-18y=4
18y+6-18y=4
18y+1818y+6-18y+18y=4
36y=10
36 36
Y=5/18
3x-18(5/18) =4
3x-5+5= 4+5
3x= 9
3 3
X=3
(3, 5/18)
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