One number is four less than a second number. Twice the first is 8 more than 6 times the second. Find the numbers *** The value of the first number is The value of the second number is
One number is four less than a second number. Twice the first is 8 more than 6 times the second. Find the numbers *** The value of the first number is The value of the second number is
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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Question
![**Algebraic Equations: Solving for Two Variables**
*Problem Statement:*
One number is four less than a second number. Twice the first is 8 more than 6 times the second. Find the numbers.
*Input Fields:*
- **The value of the first number is** [Input Box]
- **The value of the second number is** [Input Box]
*Assistance Options:*
- **Help me solve this**
- **View an example**
*Navigation:*
- [Previous Button]
---
*Explanation:*
The text presents a mathematical problem involving two variables. Here's a breakdown of how to approach solving it:
Let the first number be \( x \) and the second number be \( y \).
According to the problem:
1. \( x \) is four less than \( y \):
\[ x = y - 4 \]
2. Twice the first number is 8 more than 6 times the second:
\[ 2x = 6y + 8 \]
Substitute \( x \) from the first equation into the second equation:
\[ 2(y - 4) = 6y + 8 \]
This results in solving for \( y \), and subsequently substituting back to find \( x \).
*Interactive Elements:*
1. **Help me solve this:** Clicking this option provides step-by-step assistance.
2. **View an example:** This option shows a similar example along with its solution.
Use the input boxes to provide the values of the first and second numbers after solving the equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F561461b0-ba37-48f8-9308-b59cc84ed2b5%2Ffd130c2b-d30f-43a1-9060-b728a40d4ea9%2Fwbxm3rs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Algebraic Equations: Solving for Two Variables**
*Problem Statement:*
One number is four less than a second number. Twice the first is 8 more than 6 times the second. Find the numbers.
*Input Fields:*
- **The value of the first number is** [Input Box]
- **The value of the second number is** [Input Box]
*Assistance Options:*
- **Help me solve this**
- **View an example**
*Navigation:*
- [Previous Button]
---
*Explanation:*
The text presents a mathematical problem involving two variables. Here's a breakdown of how to approach solving it:
Let the first number be \( x \) and the second number be \( y \).
According to the problem:
1. \( x \) is four less than \( y \):
\[ x = y - 4 \]
2. Twice the first number is 8 more than 6 times the second:
\[ 2x = 6y + 8 \]
Substitute \( x \) from the first equation into the second equation:
\[ 2(y - 4) = 6y + 8 \]
This results in solving for \( y \), and subsequently substituting back to find \( x \).
*Interactive Elements:*
1. **Help me solve this:** Clicking this option provides step-by-step assistance.
2. **View an example:** This option shows a similar example along with its solution.
Use the input boxes to provide the values of the first and second numbers after solving the equations.
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