What will be learnt in this topic?
- Systems of Linear Equations in Three Variables.
When a linear equation involve three variable, we need three linear equation to be in a systems of equation to find the value of each variables involve.
There are three possible types of solutions for a system of linear equations in three variables.
- Unique solution – consistent and independent (the planes intersect at only one point)
- Infinite solutions – consistent and dependent (the planes intersect along a straight line)
- No solution – inconsistent (the three planes are parallel)
There are two methods to solve systems of three linear equations which are substitution method and elimination method.
This video will show you the steps to solve problems involving systems of linear equations in three variables.