(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 ??????′? ????.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 160E: Take a handful of two types of coins, and write a problem similar to Example 4.25 relating the total...
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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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