You have a system of two linear equations with two variables, x and y:
1. y = 2x
2. 3x + 3y = 18
To solve for x and y, you can use the substitution method. Since we already know y in terms of x from equation 1, we can substitute this expression for y into equation 2:
3x + 3(2x) = 18
Now, simplify and solve for x:
3x + 6x = 18
9x = 18
x = 18/9
x = 2
Now that we have the value of x, we can substitute it back into equation 1 to find the value of y:
y = 2x
y = 2(2)
y = 4
So, the solution to the system of equations is x = 2 and y = 4.