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What is the solution of the system of equations 3x – y = 6 and x + 2y = 4?

  1. (2,2)

  2. (4,6)

  3. (-2,-2)

  4. (-4,-6)

The correct answer is: (2,2)

The solution for a system of equations is the point where the two lines intersect. In this case, the two given equations form a system with exactly one solution at the point (2,2). This point satisfies both equations and therefore represents the solution to the system. The other options are incorrect because they either do not satisfy both equations or do not represent a unique solution. Option B, (4,6), does not satisfy the first equation, while options C and D, (-2,-2) and (-4,-6), do not satisfy the second equation. It is important to check that the chosen solution satisfies both equations, otherwise it is not the correct solution to the system.