The traffic through downtown East Podunk flows through the one-way system shown below. Traffic counters find that 400 vehicles enter town from the west each hour and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street each hour. Write down the general solution of the associated system of linear equations. Is it possible to determine the number of vehicles on each street per hour?a=400, b=50, c=400 The traffic through downtown East Podunk flows through the one-way system shownbelow. Traffic counters find that 400 vehicles enter town from the west each hourand 400 leave town toward the east each hour. Also, 50 cars drive down Canal Streeteach hour. Write down the general solution of the associated system of linearequations. Is it possible to determine the number of vehicles on each street perhour?АprilDivisionaBroadwayEmbankmenta=400, b=50, c=400.а.x = 400 - wy = 450- wz = 50+w50 с.x = 470- wy = 390 - wz = - 80+w80

(b) is correct First we have to write down the equations of the given system. We have to find out…

Answered: Is it possible to determine the number…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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The traffic through downtown East Podunk flows through the one-way system shown below. Traffic counters find that 400 vehicles enter town from the west each hour and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street each hour. Write down the general solution of the associated system of linear equations. Is it possible to determine the number of vehicles on each street per hour?

a=400, b=50, c=400

The traffic through downtown East Podunk flows through the one-way system shown
below. Traffic counters find that 400 vehicles enter town from the west each hour
and 400 leave town toward the east each hour. Also, 50 cars drive down Canal Street
each hour. Write down the general solution of the associated system of linear
equations. Is it possible to determine the number of vehicles on each street per
hour?
Аpril
Division
a
Broadway
Embankment
a=400, b=50, c=400.
а.
x = 400 - w
y = 450- w
z = 50+w
50<w < 400
b.
x = 450- w
y = 400 - w
z = - 50+w
50 <w < 400
Canal o

с.
x = 470- w
y = 390 - w
z = - 80+w
80 <w <390
d
x = 390-w
y = 470-w
z = 80+w
80 <w <390
е.
x = 390 - w
y = 470- w
z = 80+w
80 <w < 390

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