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If the equation 2x - y = 2 has no solution, what is the value of x?

  1. x cannot be determined

  2. x = 0

  3. x = 1

  4. x = 2

The correct answer is: x cannot be determined

Since there is no solution to the equation 2x - y = 2, this means that no matter what value we assign to x, we will not be able to find a corresponding value for y that will make the equation true. In other words, the equation does not have a point of intersection on a graph, which is necessary for there to be a solution. Therefore, we cannot determine a specific value for x and the correct answer is A. The other options listed are incorrect because they all suggest a specific value for x, which does not account for the possibility that the equation has no solution.