Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 15PFA
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i honestly do not understand any of this can you please help?
Certainly! Below is the transcription of the image:

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**Problem Solving: Systems by Substitution**

*Example Problem*

Your math teacher is planning a test for you. The test will have 30 questions. Some of the questions will be worth 3 points, and the others will be worth 4 points. There will be a total of 100 points on the test. How many 3-point questions and how many 4-point questions will be on the test?

a. Identify the problem: ___________________________________________________

b. Let the number of 3-point questions = \( x \) and the number of 4-point questions = \( y \). Write the two equations for the system.
   
c. Use substitution to solve for \( y \) in the first equation.

d. Substitute the value for \( y \) into the second equation to solve for \( x \).

e. There will be __________ 3-point questions and __________ 4-point questions.

f. Check your solution by substituting the values into both equations.

---

This problem involves solving a system of equations using substitution. Follow the provided steps to determine the number of 3-point and 4-point questions in the test.
Transcribed Image Text:Certainly! Below is the transcription of the image: --- **Problem Solving: Systems by Substitution** *Example Problem* Your math teacher is planning a test for you. The test will have 30 questions. Some of the questions will be worth 3 points, and the others will be worth 4 points. There will be a total of 100 points on the test. How many 3-point questions and how many 4-point questions will be on the test? a. Identify the problem: ___________________________________________________ b. Let the number of 3-point questions = \( x \) and the number of 4-point questions = \( y \). Write the two equations for the system. c. Use substitution to solve for \( y \) in the first equation. d. Substitute the value for \( y \) into the second equation to solve for \( x \). e. There will be __________ 3-point questions and __________ 4-point questions. f. Check your solution by substituting the values into both equations. --- This problem involves solving a system of equations using substitution. Follow the provided steps to determine the number of 3-point and 4-point questions in the test.
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