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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 produc the following equations were developed: 43,800x-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 fi equation is for Broadway, and the second equation is for off Broadway. Complete parts (a) and (b) below. = 1,299,000 = 390,000 (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 43.7 weeks. (Round to one decimal place as needed.)

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 produc the following equations were developed: 43,800x-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 fi equation is for Broadway, and the second equation is for off Broadway. Complete parts (a) and (b) below. = 1,299,000 = 390,000 (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 43.7 weeks. (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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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: 43,800x-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. = 1,299,000 = 390,000 (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 43.7 weeks. (Round to one decimal place as needed.) The amount of profit or loss is $ (Round to the nearest dollar 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: 43,800x-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. = 1,299,000 = 390,000 (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 43.7 weeks. (Round to one decimal place as needed.) The amount of profit or loss is $ (Round to the nearest dollar as needed.)
Expert Solution
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NOTE: Refresh your page if you can't see any equations.

.

for Broadway:

43800x-y=1299000

y=43800x-1299000

.

for off-Broadway:

23000x-y=390000

y=23000x-390000

where x is the number of weeks and y is the profit or loss

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