Question

Is it possible for a system of two linear equations to have exactly two solutions?EXPLAIN YOUR REASONING!

Answer 1

The two lines in the system are converging as x increases and will eventually intersect, meaning that there is one solution for this system. C) Incorrect. Systemsof linear equations can only have 0, 1, or an infinite number of solutions. Thesetwo lines cannot intersect twice.

Answer 2

This is not possible. There are three possibilities: one solution, no solution, infinitely many solutions. If the lines are parallel they will not cross and there will be no solution. If the lines are the same each point matches and there are infinitely many but if the lines intersect, they can only interest in ONE Point therefore having ONE Solution.