MCQ
A system of linear equations is said to be consistent, if it has :
- ANo solution
- BTwo solutions
- CExactly one solution
- ✓One or many solutions
✓
Answer
Correct option: D.
One or many solutions
A system of linear equations is said to be consistent if it has at least one solution or can have many solutions.
If a consistent system has an infinite number of solutions, it is dependent.
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent.
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
If a consistent system has an infinite number of solutions, it is dependent.
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent.
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
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