Question

Select all of the possibilities for the number of solutions of a two-variable linear system.

no solutions

1 solution

2 solutions

infinite solutions

Answer 1

Select all of the possibilities for the number of solutions of a two-variable linear system.

no solutions

1 solution

infinite solutions

Explanation:

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Answer 2

*No solutions

*1 solution

*Infinite solutions

Explanation:

The solution for a two-variable system of linear equations is the point where the two lines intersect.

Then it can happen that:

* The lines are parallel and are not intercepted (there is no solution)

* The lines are collinear (infinite solutions)

* The lines are intercepted at a single point (one solution)

There is no case in which a two-variable system of linear equations has two solutions