In Exercises 1-4, let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers. 1. The sum of two numbers is 7. If one number is subtracted from the other, the result is -1. Find the numbers. 2. The sum of two numbers is 2. If one number is subtracted from the other, the result is 8. Find the numbers. 3. Three times a first number decreased by a second number is 1. The first number increased by twice the second number is 12. Find the numbers. 4. The sum of three times a first number and twice a second number is 8. If the second number is subtracted from twice the first number, the result is 3. Find the numbers.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 38EQ
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In Exercises 1-4, let x represent one number and let y represent
the other number. Use the given conditions to write a system of
equations. Solve the system and find the numbers.
1. The sum of two numbers is 7. If one number is subtracted
from the other, the result is -1. Find the numbers.
2. The sum of two numbers is 2. If one number is subtracted
from the other, the result is 8. Find the numbers.
3. Three times a first number decreased by a second number
is 1. The first number increased by twice the second number
is 12. Find the numbers.
4. The sum of three times a first number and twice a second
number is 8. If the second number is subtracted from twice
the first number, the result is 3. Find the numbers.
Transcribed Image Text:In Exercises 1-4, let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers. 1. The sum of two numbers is 7. If one number is subtracted from the other, the result is -1. Find the numbers. 2. The sum of two numbers is 2. If one number is subtracted from the other, the result is 8. Find the numbers. 3. Three times a first number decreased by a second number is 1. The first number increased by twice the second number is 12. Find the numbers. 4. The sum of three times a first number and twice a second number is 8. If the second number is subtracted from twice the first number, the result is 3. Find the numbers.
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