When a popular playwright opened a new play, he had to decide whether to open the show on Broadway or off Broadway. For example, he decided to open his last play off Broadway. From information provided from his producer, the following equations were developed:
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where x represents the number of weeks that the show ran and y represents the profit or loss from the show. The first equation is for Broadway, and the second equation is for off Broadway. Complete parts (a) and (b) below.
(a) Solve this system of equations to determine when the profit or loss from the show will be equal for each venue. What is the amount of that profit or loss?
The profit or loss will be equal for each venue after about ____ weeks.