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.

**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.

Tags : Method of Solving simultaneous linear equations | Algebra | Maths , 9th Maths : UNIT 3 : Algebra

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9th Maths : UNIT 3 : Algebra : Some special terminology | Method of Solving simultaneous linear equations | Algebra | Maths

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