Answered: Solve the system of linear equations…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Solve the system of linear equations using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions involving one parameter, enter the solution using t for the last variable.)

3x	+	2y	=	7
2x	−	4y	=	−22

(x, y) =

5x	−	4y	+	z	=	6
x	+	5y	−	3z	=	−2
4x	−	5y	+	2z	=	6
x	−	8y	+	9z	=	10

(x, y, z) =

2x	−	3y	+	z	=	17
3x	+	2y	−	2z	=	−2
x	−	3y	−	4z	=	−17
4x	+	y	−	z	=	9

(x, y, z) =

Gloria Newburg operates three self-service gasoline stations in different parts of town. On a certain day, station A sold 600 gal of premium, 800 gal of super, 1000 gal of regular gasoline, and 700 gal of diesel fuel; station B sold 700 gal of premium, 600 gal of super, 1200 gal of regular gasoline, and 400 gal of diesel fuel; station C sold 900 gal of premium, 700 gal of super, 1400 gal of regular gasoline, and 800 gal of diesel fuel. Assume that the price of gasoline was $3.30/gal for premium, $2.96/gal for super, $2.60/gal for regular and that diesel fuel sold for $3.10/gal. Use matrix algebra to find the total revenue at each station.

station A	$
station B	$
station C

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