Use the substitution method to solve the system.
$\begin{array}{c}
x+2 y=2 \\
2 x-9 y=-9
\end{array}$
A. $(1,0)$
B. $(0,0)$
C. $(0,1)$
D. $(1,1)$

To solve the given system using the substitution method:

Step 1: Solve one equation for one variable. Let's solve the first equation for x:

x = 2 - 2y

Step 2: Substitute the expression for x into the second equation:

(2 - 2y) - 9y = -9

Step 3: Solve for y:

2 - 2y - 9y = -9

11y = 11

y = 1

Step 4: Substitute the value of y back into the expression for x:

x = 2 - 2(1)

x = 2 - 2

x = 0

So the solution is:

(x, y) = (0, 1)

Therefore, the answer is:

C. (0,1)