Some special terminology

Some special terminology

We found that the graphs of equations within a system tell us how many solutions are there for that system. Here is a visual summary.

• When a system of linear equation has one solution (the graphs of the equations intersect once), the system is said to be a consistent system.

• When a system of linear equation has no solution (the graphs of the equations don’t intersect at all), the system is said to be an inconsistent system.

• When a system of linear equation has infinitely many solutions, the lines are the same (the graph of lines are identical at all points), the system is consistent.