The following statements are true regarding the ages of Sammy, Pammy, and Tammy. "Sammy's age plus Pammy's age plus two times Tammy's age is 100." "Two times Sammy's age minus three times Pam's age plus fourteen times Tammy's age also equals 100." "Sammy's age plus two times Pammy's age minus four times Tammy's age also equals 100." (a) Set up a system of linear equations that represents the statements above. (b) Solve the system in part (a) using Gauss elimination and backwards substitution.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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The following statements are true regarding the ages of Sammy, Pammy, and Tammy.
"Sammy's age plus Pammy's age plus two times Tammy's age is 100."
"Two times Sammy's age minus three times Pam's age plus fourteen times Tammy's age also
equals 100."
"Sammy's age plus two times Pammy's age minus four times Tammy's age also equals 100."
(a) Set up a system of linear equations that represents the statements above.
(b) Solve the system in part (a) using Gauss elimination and backwards substitution.
Transcribed Image Text:The following statements are true regarding the ages of Sammy, Pammy, and Tammy. "Sammy's age plus Pammy's age plus two times Tammy's age is 100." "Two times Sammy's age minus three times Pam's age plus fourteen times Tammy's age also equals 100." "Sammy's age plus two times Pammy's age minus four times Tammy's age also equals 100." (a) Set up a system of linear equations that represents the statements above. (b) Solve the system in part (a) using Gauss elimination and backwards substitution.
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