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At the theater, the evening performance always begins 2 hours after the matinee begins. Write an equation to determine the number of hours y until the evening performance begins given the number of hours x until the matince performance begins.

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Final answer:

To find the time until the evening performance given the time until the matinee, use the equation y = x - 2, where x is the time until the matinee and y is the time until the evening performance.

Step-by-step explanation:

The question is about writing an equation to determine the time until the evening performance at a theater based on the time until the matinee performance. We are given that the evening performance begins 2 hours after the matinee. Therefore, the equation that represents the relationship between the number of hours x until the matinee begins and the number of hours y until the evening performance begins would be:

y = x - 2

This equation assumes that as the time until the matinee decreases, the time until the evening performance also decreases by the same amount, minus 2 hours.

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