Question

Can anyone please explain what properties of real numbers are use in this problem. thanks!
4x+3=0
4x+3+(-3) = 0 + (-3)
4x+(3-3) = -3
4x+0 = -3
4x * 1/4 = -3 * 1/4
x * 4 * 1/4 = 3/4
x* (4 * 1/4) = -3/4
x * 1 = -3/4
x = -3/4

Answer 1

4x+3=0 : Multiplicative property
4x+3+(-3) = 0 + (-3) : Commutitivity and distributivity
4x+(3-3) = -3 : Distributive
4x+0 = -3 : additive Identity
4x * 1/4 = -3 * 1/4 : Reciprocal( Multiplicative Identity)
x * 4 * 1/4 = 3/4 : Multiplication
x* (4 * 1/4) = -3/4 : Distributivity
x * 1 = -3/4 : Multiplicative Identity
x = -3/4 : Value Denoting

Answer 2

@shubhamsrg Sir can you please check if it is wrong or not.....?

Answer 3

am sorry am not too good with the names of properties. but perhaps you are right

Answer 4

Thankyou sir

Answer 5

4x+3=0_Given

4x+3+(-3) = 0 + (-3)_Addition Property of Equality

4x+(3-3) = -3_Definition of Subtraction, Identity Property of Addition

4x+0 = -3_Substitution Principle

4x * 1/4 = -3 * 1/4_Identity Property of Addition, Multiplication Property of Equality

x * 4 * 1/4 = -3/4_Commutative Property of Multiplication, Definition of Division

x* (4 * 1/4) = -3/4_Associative Property of Multiplication

x * 1 = -3/4_Property of Reciprocals

x = -3/4_Identity Property of Multiplication

Answer 6

thanks guys! but which one is the right answer? im not good at naming real number properties too. hehe

Answer 7

I am sure my answer is correct :)