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.