Use the substitution method to solve the system 2x+2y=6 , 3x+2y=9 .(1 point)
To solve the system of equations using the substitution method, we can solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for x:
2x + 2y = 6
2x = 6 - 2y
x = (6 - 2y) / 2
x = 3 - y
Now we can substitute this expression for x into the second equation:
3x + 2y = 9
3(3 - y) + 2y = 9
9 - 3y + 2y = 9
-y = 0
y = 0
Substitute this value back into the equation we found for x:
x = 3 - y
x = 3 - 0
x = 3
So the solution to the system of equations is x = 3 and y = 0.