Question

Suppose all of the operations result in whole numbers. Explain why (a + b)+c = (a+c)+(b+c). If both (a+c) and (b + c) result in whole numbers, that means (a+c) is a multiple of for some whole number x and (b+c) is a multiple of for some whole number y. By substitution and the distributive property of multiplication, this gives a + b = x + y. Using the definition of division, x + y = (a+c) + (b + c). and x + y also equals (a+c) + (b + c)by substitution.

Name: suppose all of the operations result in whole numbers explain why a bc acbc if both ac and b c result in whole numbers that means ac is a multiple of for some whole number x and bc is a mult 38634
Uploaded: 2022-02-08T17:28:17-08:00
Duration: 40 s
Channel: Victor Salazar
Description: suppose all of the operations result in whole numbers explain why a bc acbc if both ac and b c result in whole numbers that means ac is a multiple of for some whole number x and bc is a mult 38634

          Suppose all of the operations result in whole numbers. Explain why (a + b)+c = (a+c)+(b+c).
If both (a+c) and (b + c) result in whole numbers, that means  (a+c) is a multiple of  for some whole number x and (b+c) is a multiple of  for some whole number y. By substitution and the distributive property of multiplication, this gives a + b =  x + y. Using the definition of division, x + y =  (a+c) + (b + c).
and x + y also equals (a+c) + (b + c)by substitution.

suppose all of the operations result in whole numbers explain why a bc acbc if both ac and b c result in whole numbers that means ac is a multiple of for some whole number x and bc is a mult 38634

Added by Fernando M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Victor Salazar

02/08/2022

Step 1

Step 1: If both (a+c) and (b + c) result in whole numbers, that means (a+c) is a multiple of for some whole number x and (b+c) is a multiple of for some whole number y. Show more…

Show all steps

Thanks for your feedback!

Suppose all of the operations result in whole numbers. Explain why (a + b)+c = (a+c)+(b+c). If both (a+c) and (b + c) result in whole numbers, that means (a+c) is a multiple of for some whole number x and (b+c) is a multiple of for some whole number y. By substitution and the distributive property of multiplication, this gives a + b = x + y. Using the definition of division, x + y = (a+c) + (b + c). and x + y also equals (a+c) + (b + c)by substitution.