Identify the solution(s) of the system of equations, if any.

x + 3y = 7
6x - 9y = 6

(3,4/3)

To find the solution(s) of the given system of equations, we can solve them using a method called substitution.

Step 1: Solve one of the equations for one variable in terms of the other. Let's solve the first equation for x:
x + 3y = 7
x = 7 - 3y

Step 2: Substitute this expression for x into the second equation:
6x - 9y = 6
6(7 - 3y) - 9y = 6

Simplifying the equation gives us:
42 - 18y - 9y = 6
42 - 27y = 6

Step 3: Solve the resulting equation for y:
42 - 27y = 6
-27y = 6 - 42
-27y = -36
y = -36 / -27
y = 4 / 3

Step 4: Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
x + 3y = 7
x + 3(4/3) = 7
x + 4 = 7
x = 7 - 4
x = 3

Therefore, the solution to the system of equations is x = 3 and y = 4/3.