(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 ??????′? ????.
(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 ??????′? ????.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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(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 ??????′? ????.
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