Systems of Linear Equations in Three Variables

Analyze

Break down in order to bring out the essential elements or structure

Cite

Identifying a part of a piece of writing as being derived from a source.

Systems of Linear Equations in Three Variables

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z), ( x , y , z ) , is called an ordered triple.

ordered triples

The form (x, y, z) represent the location of a point in coordinate space.

Elaborate

To explain in greater detail

Assess

evaluate or estimate the nature, ability, or quality of

Systems of linear equations

is a set of two or more linear equations in the same variables.

inconsistent

not staying the same throughout

Linear

straight line