Use the substitution method to solve the system 2x + 2y = 6, 3x + 2y = 9
To solve the system using the substitution method, we'll solve one of the equations for one variable and substitute it into the other equation.
From the first equation, solve for x:
2x + 2y = 6
2x = 6 - 2y
x = (6 - 2y)/2
x = 3 - y
Now substitute the value of x in the second equation:
3x + 2y = 9
3(3 - y) + 2y = 9
9 - 3y + 2y = 9
-y = 0
y = 0
Now substitute the value of y back into the first equation to find x:
2x + 2(0) = 6
2x = 6
x = 6/2
x = 3
So the solution to the system of equations is x = 3 and y = 0.