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x + 3y =2 (1)
x = 9 -3y (2)

solve the system of equations

It gives you the value of x, so substitute that value into the first equation, like this:

x + 3y = 2
x = 9 - 3y

9 - 3y + 3y = 2
9 = 2

Somehow, you get 9 = 2, which is DEFINITELY not correct, so maybe there was a typo in typing out the question?

To solve the system of equations, you can use the method of substitution or the method of elimination. Let's solve it using the substitution method.

Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve equation (2) for x in terms of y:

x = 9 - 3y

Step 2: Substitute the expression for x from step 1 into the other equation. We substitute x in equation (1) with the expression from equation (2):

9 - 3y + 3y = 2

Simplifying this equation, we get:

9 = 2

However, this equation is not possible since it does not have a valid solution. Therefore, the given system of equations does not have a solution.