In an axiomatic system which category do points, lines and planes belong to

The category in which  points, lines and planes belong to is:

             Undefined terms.

An axiomatic system is a system that consist of the undefined terms and the collection of the statements or axioms or postulates that are related to these undefined terms.

As we know that in mathematics or geometry we know that there are three undefined terms--

1) Point -- It represent just a location.

2) Line-- It is a line that consist of all the points and extends infinitely in both the directions.

3) Plane-- It is a two-dimensional figure which extends infinitely.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: