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Sagot :
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
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1) [tex]4\cdot x +1 +x + 3 = -11[/tex] GIven
2) [tex]4\cdot x +x +1 + 3 = -11[/tex] Commutative property
3) [tex](4+1)\cdot x +4 = -11[/tex] Distributive property/Definition of addition
4) [tex]5\cdot x +4 = -11[/tex] Definition of addition
5) [tex]5\cdot x +4 -4 = -11-4[/tex] Compatibility with addition
6) [tex]5\cdot x = -15[/tex] Existence of additive inverse/Modulative property
7) [tex]\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)[/tex] Compatibility with multiplication
8) [tex]x = - 3[/tex] 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
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