Question

Please help. Algebra.

Answer 1

1. A

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.

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2. C

That's right. If a system of equations has a solution, then their graphs intersect,  and the point where they intersect is the solution because it's the point that  satisfies each equation in the system.

Straight-line graphs with the same slope are parallel lines, and they never intersect,  which is another way of saying they have no solution.