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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

Solution

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

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