Use a system of linear equations with two variables and two equations to solve. A number is 10 more than another number. Twice the sum of the two numbers is 48. Find the two numbers. Enter the numbers in increasing order. First Number: Number Second Number: Number
Use a system of linear equations with two variables and two equations to solve. A number is 10 more than another number. Twice the sum of the two numbers is 48. Find the two numbers. Enter the numbers in increasing order. First Number: Number Second Number: Number
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
![### System of Linear Equations
Use a system of linear equations with two variables and two equations to solve.
A number is 10 more than another number. Twice the sum of the two numbers is 48. Find the two numbers.
Enter the numbers in increasing order.
**First Number:** [ ] (Input Box for the number)
**Second Number:** [ ] (Input Box for the number)
---
To solve this problem, you can set up the equations based on the information given:
Let \( x \) be the first number and \( y \) be the second number.
1. According to the problem, the first number \( x \) is 10 more than the second number \( y \).
\[ x = y + 10 \]
2. Twice the sum of the two numbers is 48.
\[ 2(x + y) = 48 \]
You can solve this system of equations to find the values of \( x \) and \( y \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F314b57e5-7f54-41b9-a533-cb2fa63c205a%2Fd2b2778b-accc-4253-9655-5e14f1ccd0a3%2Fd5jtmwu_processed.png&w=3840&q=75)
Transcribed Image Text:### System of Linear Equations
Use a system of linear equations with two variables and two equations to solve.
A number is 10 more than another number. Twice the sum of the two numbers is 48. Find the two numbers.
Enter the numbers in increasing order.
**First Number:** [ ] (Input Box for the number)
**Second Number:** [ ] (Input Box for the number)
---
To solve this problem, you can set up the equations based on the information given:
Let \( x \) be the first number and \( y \) be the second number.
1. According to the problem, the first number \( x \) is 10 more than the second number \( y \).
\[ x = y + 10 \]
2. Twice the sum of the two numbers is 48.
\[ 2(x + y) = 48 \]
You can solve this system of equations to find the values of \( x \) and \( y \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
