195k views
4 votes
HELPPPPPP this is due tonight!!!!

HELPPPPPP this is due tonight!!!!-example-1

1 Answer

3 votes

Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Explanation:

We proceed to solve algebraically and explain each step:

1)
4\cdot x +1 +x + 3 = -11 GIven

2)
4\cdot x +x +1 + 3 = -11 Commutative property

3)
(4+1)\cdot x +4 = -11 Distributive property/Definition of addition

4)
5\cdot x +4 = -11 Definition of addition

5)
5\cdot x +4 -4 = -11-4 Compatibility with addition

6)
5\cdot x = -15 Existence of additive inverse/Modulative property

7)
(1)/(5)\cdot (5\cdot x)= (1)/(5)\cdot (-15) Compatibility with multiplication

8)
x = - 3 Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

User Moises Portillo
by
6.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.