Use a system of linear equations with two variables and two equations to solve. 304 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed. Passing Students: Number Failing Students: Number
Use a system of linear equations with two variables and two equations to solve. 304 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed. Passing Students: Number Failing Students: Number
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Solving a System of Linear Equations**
**Problem Statement:**
Use a system of linear equations with two variables and two equations to solve the following problem:
**Scenario:**
304 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
**Equation Setup:**
1. Let \( x \) be the number of passing students.
2. Let \( y \) be the number of failing students.
The two equations based on the scenario are:
1. \( x + y = 304 \) (Total students)
2. \( x = 7y \) (Seven times as many students passed as failed)
**Interactive Input Fields:**
* Passing Students: [Input Box]
* Failing Students: [Input Box]
Use these equations to find the values for both passing and failing students.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c2c9f27-2629-48bf-9d4e-bc9a3ee26581%2F8e50edfa-b467-4989-bf18-53cd65f12637%2Frf9p62_processed.png&w=3840&q=75)
Transcribed Image Text:**Solving a System of Linear Equations**
**Problem Statement:**
Use a system of linear equations with two variables and two equations to solve the following problem:
**Scenario:**
304 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
**Equation Setup:**
1. Let \( x \) be the number of passing students.
2. Let \( y \) be the number of failing students.
The two equations based on the scenario are:
1. \( x + y = 304 \) (Total students)
2. \( x = 7y \) (Seven times as many students passed as failed)
**Interactive Input Fields:**
* Passing Students: [Input Box]
* Failing Students: [Input Box]
Use these equations to find the values for both passing and failing students.
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