Question

Give reasons for each step of the deductive argument that if x – 5 = 2(x + 6), then x = -17.
x – 5 = 2(x + 6) Original problem
x – 5 = 2x + 12 1)
-5 = x + 12 2)
-17 = x 3)
x = -17 4)

Answer choices:

Reflexive property
Symmetric property
Transitive property
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
Substitution property
Distributive property

Answer 1

hi! your answer is substitution property! I majored in mathematics, (:

Answer 2

Is that for the 1st step. I have to give one for each step?

Answer 3

yes! (:

Answer 4

x - 5 = 2(x + 6)
x - 5 = 2x + 12 (distriubutive prop))
-5 = x + 12 (subtraction prop of =, substitution)
-17 = x (subtraction prop of =, substitution)
x = -17 (symmetric property)

Answer 5

Thank you.

Answer 6

wow..

Answer 7

So when you write the subtraction property of equality, I also write substitution. Can it be 2 different properties

Answer 8

it's both, because the step is composed of two parts

Answer 9

Ok, now I understand, This stuff is not easy.

Answer 10

Do you know how to Write the definition of the word acute angle as a biconditional statement.