Question

The point (0, 2) is the only solution to the system of linear equations that contains the equations

y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.

Answer 1

Because there is only one solution to this system, this means that the system is consistent and it is independent

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consistent = system has at least one solution

independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other

Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes.