The figure on the right shows the intersections of three one-way streets. Use Gaussian elimination to solve the system of equations that models this situation (shown below). 9 8 Cars/min Cars/min 13 15 Cars/min Cars/min x + 9 = y + 13 z + 15 = x + 8 y + 21 = z + 24 21 24 Cars/min Cars/min --... Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {( | A D}:(Simplify your answers.) O B. There are infinitely many solutions. The solution set is {( z)}, where z is any real number. (Type expressions using z as the variable.) O C. There is no solution.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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11-7

The figure on the right shows the intersections of three one-way streets.
Use Gaussian elimination to solve the system of equations that models this
situation (shown below).
8
Cars/min
Cars/min
13
Cars/min
15
Cars/min
x + 9 = y + 13
z + 15 = x +
y + 21 = z + 24
21
24
Cars/min
Cars/min
--..-
Select the correct choice below and fill in any answer boxes within your choice.
A. There is one solution. The solution set is {( | | D} (Simplify your answers.)
O B. There are infinitely many solutions. The solution set is {( I z)}, where z is any real number.
(Type expressions using z as the variable.)
O C. There is no solution.
Transcribed Image Text:The figure on the right shows the intersections of three one-way streets. Use Gaussian elimination to solve the system of equations that models this situation (shown below). 8 Cars/min Cars/min 13 Cars/min 15 Cars/min x + 9 = y + 13 z + 15 = x + y + 21 = z + 24 21 24 Cars/min Cars/min --..- Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is {( | | D} (Simplify your answers.) O B. There are infinitely many solutions. The solution set is {( I z)}, where z is any real number. (Type expressions using z as the variable.) O C. There is no solution.
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