If a system of linear equations has one solution, this means that the lines are intersecting lines
Intersecting lines are lines that meet at a point.
For parallel lines, they do not meet at any point. Hence the system of equation formed by these lines does not have a solution
For two intersecting lines, the equation of both lines can be equated to get the unknown variable. This unknown variable will serve as the solution to the system of equation
Hence If a system of linear equations has one solution, this means that the lines are intersecting lines
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