## Transformations of a system

Transformations of a system The  following transformations can be applied to a system of equations to get an equivalent system: a. Exchanging any two equations; b. Multiplying both sides of…

## Solving an Inconsistent System with Three Variables

Solve special systems    Linear systems with three variables may be inconsistent or may include dependent equations. The next examples illustrate these cases.   Solving an Inconsistent System with Three…

## Solving a Linear System in Three Variables

Solving a Linear System in Three Variables   Step 1:- Eliminate a variable. Use the elimination method to eliminate any variable from any two of the original equations. The…

## Solving a Linear System by Elimination

Solving a Linear System by Elimination   Step 1:-  Write both equations in standard form Ax + By = C.   Step 2:-  Make the coefficients of one pair of…

## Solving a Linear System by Substitution

Solving a Linear System by Substitution   Step 1:- Solve one of the equations for either variable. If one of the variable terms has coefficient 1 or 21, choose it,…