If two lines intersect each other, then the system of equations have _______ solution(s).

Answer 1

Hi Alexandro, there are three possibilities for solutions to a system of equations.

Possibility 1:

The two line intersect each other. The number of solutions is 1, resulting in an (x, y) pair.

Possibility 2:

The results of the system of equations is: 0 = n, where n is any number other than 0. This means there is no solution. Think of parallel lines.

Possibility 3:

The results of the system of equations is: 0 = 0. This means the lines are identical. There is an infinite number of solutions. Think of one line lying on top of the other line.

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