The system of linear equations has no solution when the graphs of equations are parallel.
The collection of one or more linear equations, such that each of those equations have same set of variables, are known as system of linear variables.
- If a consistent system has an infinite number of solutions, it is dependent . When we 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.
Thus, we can conclude that the system of linear equations has no solution when the graphs of equations are parallel.
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