Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used. 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Respuesta :

3x + 15 - 2  = 3(x + 5) - 2...distribute : distribution property
3x + 13 = 3x + 15 - 2...simplify
3x + 13 = 3x + 13 ...subtract 3x from both sides : subtraction property
3x - 3x + 13 = 3x - 3x + 13
13 = 13 (correct)...infinite solutions

check....x = 2
3(2) + 15 - 2 = 3(2 + 5) - 2
6 + 13 = 6 + 15 - 2
19 = 21 - 2
19 = 19 (correct)