Answered: nternet Audience At the end of a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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nternet Audience At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that

					z	−	u	=	3(x − y) + 22
					x	+	y	=	44 + z + u
and	x	−	y	+	z	−	u	=	46.

How large was the audience of each of the four companies at the end of that year?

MicrosoftTime WarnerYahooGoogle

Expert Solution

Step 1

From the given information, it is observed that the total number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users.

Let x be the number of Microsoft audience in millions, y be the number of Time Warner audience in millions, z be the number of Yahoo audience in millions, and u be the number of Google audience in millions.

That implies,

$x + y + z + u = 284 . . . . . . (1)$

Rearrange the given equations as follows.

$z - u = 3 (x - y) + 22 3 x - 3 y - z + u = - 22 . . . . . . (2) x + y - z - u = 44 . . . . . . (3) x - y + z - u = 46 . . . . . . (4)$

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