To solve for x and y, you can use the substitution method. First, isolate x or y in one of the equations and substitute the expression into the other equation. Then, solve for the remaining variable and use the expression to find the other variable.

Let's isolate y in the first equation:

x + y = 18
y = 18 - x

Now, substitute y = 18 - x into the second equation:

5x + 9y = 122
5x + 9(18 - x) = 122
5x + 162 - 9x = 122
-4x = -40
x = 10

Now that we have found x, we can use the expression y = 18 - x to find y:

y = 18 - x
y = 18 - 10
y = 8

So, the solution to the system of equations is x = 10 and y = 8.
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