Solution to two equations with three unknowns

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So I'm a student studying through correspondence and I need some help. This is an assignment question, and I have tried everything I know how, to answer it which has lead me to the conclusion that there is no solution.

Here's the question:

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My Answer: I have tried to solve through elimination as well as reduce it to row echelon form in which i still have more unknowns than solutions... Please Help me! I just want to be pointed in the right direction. Thanks!

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The task does not state that you have to solve the equations, but rather verify. So you just have to 'plug' the points into your system of equations and see if they are satisfied.

Hint: If I calculated correctly $A$ is a solution while $B$ is not.