(1) The following is known about three numbers: Three times the first number plus the second number plus twice the third number is 5. If 3 times the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. If the third number is subtracted from 2 times the first number and 3 times the second number, the result is 1. (a) Write a system of equations to match the description of the information given. (b) Find the numbers using Cramer's Rule.
(1) The following is known about three numbers: Three times the first number plus the second number plus twice the third number is 5. If 3 times the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. If the third number is subtracted from 2 times the first number and 3 times the second number, the result is 1. (a) Write a system of equations to match the description of the information given. (b) Find the numbers using Cramer's Rule.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(1) The following is known about three numbers: Three times the first number plus the second
number plus twice the third number is 5. If 3 times the second number is subtracted from
the sum of the first number and 3 times the third number, the result is 2. If the third number
is subtracted from 2 times the first number and 3 times the second number, the result is 1.
(a) Write a system of equations to match the description of the information given.
(b) Find the numbers using Cramer's Rule.
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