Please help me with this homework using the substitution method

(5, -2)

Step-by-step explanation:

Let's solve the first equation for x:  If x + y = 3, and if we subtract y from both sides, we get x = 3 - y.  Next, substitute 3 - y for x in the second equation:

3(3 - y) + 2y = 11, or

9 - 3y + 2y = 11

Combining like terms:  -3y + 2y = 11 - 9, or

-y = 2, or y = -2.

Then, from the equation x = 3 - y, which we found earlier,

x = 3 - (-2) = 5

Then the solution is (5, -2)