You've got two different versions of your first equation, x+5y=9 and x=5y+9. These two equations DO NOT say the same thing. I want to assume you wanted both of them in standard form, but this problem is much easier if they're not, so I'll show you the steps so you can solve it either way.
That makes our system of equations:
x=5y+9
2x+3y=5
Since x is equal to (5y+9), we should be able to replace x with (5y+9) without changing the value of anything. That's exactly what the substitution method does. In the second equation, I'm going to re-write it but substituting in something that is EQUAL to x everywhere I see an x.
2x + 3y=5
2(5y+9)+3y=5
Now I can distribute and rearrange to solve for y
10y+18+3y=5
13y+18=5
13y=-13
y=-13/13
y=-1
Now since y is equal to -1, I can substitute it in to either equation and try to figure out what x equals.
x=5y+9
x=5(-1)+9
x=-5+9
x=4
Our solution is x=4 and y=-1, which can be written as the point (4,-1). I like to double check this by plugging this (x,y) pair in to my other equation
2x+3y=5
2(4)+3(-1)=5
8-3=5
5=5
If you meant to write your equations the other way, you just have one extra step: you have to solve for one of your variables, which just means to get a variable alone on one side of the equals sign. Once you do that, you can pick up right where I began!
