the substitution method to solve the system 2x+2y=6 , 3x+2y=9 .(1 point

Answer 1

First, we will solve one of the equations for either x or y in terms of the other variable. Let's solve the first equation for y:

2x + 2y = 6
2y = 6 - 2x
y = 3 - x

Now, we will substitute this expression for y into the second equation:

3x + 2(3 - x) = 9
3x + 6 - 2x = 9
x + 6 = 9
x = 3

Finally, substitute the value of x back into the first equation to solve for y:

2(3) + 2y = 6
6 + 2y = 6
2y = 0
y = 0

So, the solution to the system of equations is x = 3 and y = 0.