Final answer:
There are infinitely many ordered pairs that satisfy the system of equations.
Step-by-step explanation:
The given system of equations is:
y = x² - 3x - 10
y = (x + 2)(x - 5)
To find the number of ordered pairs that satisfy this system of equations, we need to find the values of x for which the two equations are equal.
Setting the two equations equal to each other, we have:
x² - 3x - 10 = (x + 2)(x - 5)
Expanding and simplifying, we get:
x² - 3x - 10 = x² - 3x - 10
This equation is true for every value of x. Therefore, there are infinitely many ordered pairs that satisfy the system of equations.