- #1

- 142

- 1

## Main Question or Discussion Point

General definition of System of Linear Equations says that

Consider the system of linear equations

##x-2y=-1##

##3x+5y=8##

##4x+3y=7##

As we can see from the below graph that all the 3 line intersect at a single point ##\implies## System has a unique solution. But at the same time system is not independent as any equation can be derived from the algebraic manipulations of other two equations. So, how definition is true.

"If The system has a unique solution, It has independent set of Equations"

Consider the system of linear equations

##x-2y=-1##

##3x+5y=8##

##4x+3y=7##

As we can see from the below graph that all the 3 line intersect at a single point ##\implies## System has a unique solution. But at the same time system is not independent as any equation can be derived from the algebraic manipulations of other two equations. So, how definition is true.