Problem Set A (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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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Problem Set A
(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.
Transcribed Image Text:Problem Set A (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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