Question

Let x represent one number and let y represent the other number. Use the following conditions to write a system of nonlinear equations. Solve the system and find the numbers.

The sum of two numbers is 11 and the product of the two numbers is 30

The two numbers are:
(use a comma to separate answers as needed)

Answer 1

Answers:

There are 2 answers:

1. 6,5

2. 5,6

Explanation:

The SUM of two numbers IS 11:

x + y = 11

The PRODUCT of two numbers IS 30:

xy = 30

The system we get is

x + y = 11

xy = 30

Now solve the system:

There are 2 possible solutions:

(6,5) and (5,6)