I need help solving this math problem, please:

Problem:
Angela's math test had 100 multiple-choice questions. Each correct answer was worth 1 point, each incorrect answer was worth -2 points, and skipped questions were worth 0 points. Angela answered an even number of questions, was unable to complete the entire test, and did answer some questions incorrectly. Her test score was an 88. How many questions did she answer correctly? How many questions did she answer incorrectly?

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To solve this math problem, we can set up a system of equations using the given information.

Let's use the variables 'c' to represent the number of questions answered correctly, 'i' to represent the number of questions answered incorrectly, and 's' to represent the number of questions skipped.

From the problem, we know the following:

1. Angela answered an even number of questions: c + i + s is even. Since s can be any positive even number, we can ignore it for now and focus on the other equations.
2. Each correct answer was worth 1 point, each incorrect answer was worth -2 points, and skipped questions were worth 0 points. Angela's test score was 88, so we can write the equation: c - 2i = 88.

Now, we have two variables and two equations, so we can solve this system.

First, let's substitute the value of c (correct answers) in terms of i (incorrect answers) from the first equation into the second equation:

c = -i + (even number)
-(-i + (even number)) - 2i = 88
i + 2i - (even number) = 88
3i - (even number) = 88

Since 'even number' can be any positive even number, we can ignore it for now and focus on the equation:

3i = 88

Dividing both sides by 3, we find:

i = 88 / 3 = 29.33

Our solution for i is a decimal, which doesn't make sense in this context since we can't have a fraction of an incorrect answer. This implies there is no solution to the problem as stated.

Therefore, there is no number of questions that Angela could have answered correctly and incorrectly, given the conditions and her test score.