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 8 and the product of the two numbers is 15.

Solution

L e t x re p rese n t o n e n u mb er an d l e t y re p rese n t t h e o t h er n u mb er . U se t h e f o ll o w in g co n d i t i o n s t o w r i t e a sys t e m o f n o n l in e a r e q u a t i o n s . S o l v e t h e sys t e m an d f in d t h e n u mb ers . : T h e s u m o f tw o n u mb ers i s 8 an d t h e p ro d u c t o f t h e tw o n u mb ers i s 15.

The numbers : 5, 3

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 8

x y = 15

x + y = 8, x y = 15 : (x = 5, y = 3 x = 3, y = 5)

Discard duplicated solutions

The numbers : 5, 3