How many types of solutions are in a two variable system?

3 types

There are three types of systems of linear equations in two variables, and three types of solutions. An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution. An inconsistent system has no solution.

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If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8