Use substitution to determine whether the ordered pair (– 3, – 2) is a solution of the equation 5x + y2 = –11. Show some work. Be sure to state your conclusion about whether the ordered pair is a solution or not.

What does

5(-3) + (-2)^2 = -11

give you?

To determine whether the ordered pair (-3, -2) is a solution of the equation 5x + y^2 = -11, we can substitute the values of x and y into the equation and check if it holds true.

Let's substitute x = -3 and y = -2 into the equation:

5(-3) + (-2)^2 = -11

Simplifying this expression:
-15 + 4 = -11

-11 = -11

Since the equation holds true when we substitute the values of x = -3 and y = -2, we can conclude that the ordered pair (-3, -2) is indeed a solution of the equation 5x + y^2 = -11.