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: 44,000x - y = 1,296,000 23,000x - y = 380,000 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. (Round to one decimal place as needed.)

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Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.75TI: Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram...
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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:
= 1,296,000
= 380,000
44,000x - y
23,000x - y
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.
(Round to one decimal place as needed.)
Transcribed Image Text: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: = 1,296,000 = 380,000 44,000x - y 23,000x - y 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. (Round to one decimal place as needed.)
Expert Solution
Step 1

44,000x-y= 1296000 

23000x-y= 380000 

Here x represent number of weeks and y represent loss or profit . 

Find loss or profit in number of weeks .

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