Explanation Given: In recent years, the number of newspapers printed as morning editions has been increasing and the number of newspapers printed as evening editions has been decreasing. The number y of daily morning newspapers in existence from 1995 through 2011 is approximated in existence from 1995 through 2011 is approximated by the equation 153 x − 10 y = − 6720 , where x is the number of years since 1995. The number y of daily evening newspapers in existence from 1995 through 2011 is approximated by 125 x + 5 y = 4350 , where x is the number of years since 1995. Steps to solve: To solve a system of Two Linear Equations by the Addition Method Step 1: Rewrite each equation in standard form, A x + B y = C . Step 2: If necessary multiply one or both equations by a nonzero number so that the coefficients of the chosen variable in the system are opposites. Step 3: Add the equations. Step 4: Find the value of one variable by solving the resulting equation from Step 3. Step 5: Find the value of the second variable by substituting the value found in step 4 into either of the original equations. Step 6: Check the proposed solution in the original system. Calculation: Consider the equations. 153 x − 10 y = − 6720 ... (1) 125 x + 5 y = 4350 ... (2) Multiply equation (2) by 2 and then add with equation (1) To determine (b) To interpret: The solution in part (a). To determine (c) To find: The number of each type of newspaper in the year found in part (b).

Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)

4th Edition

ISBN: 9780321983503

Author: Elayn Martin-Gay

Publisher: PEARSON

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Question

Chapter 14.3, Problem 60E

To determine

(a)

To solve:

The system of equations by addition method.

To determine

(b)

To interpret:

The solution in part (a).

To determine

(c)

To find:

The number of each type of newspaper in the year found in part (b).

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Chapter 14.3, Problem 59E

Chapter 14.IR, Problem 1IR

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