Explanation Given: The total cost of 3 cases of paper and 5 ink cartridges is $295. Cost of a paper case is $13 more than the cost of ink cartridge. Procedure used: Solving system of equation by Substitution method: (1) Solve either of the equations for one variable in terms of the other. (If one of the equations is already in this form, you can skip this step.) (2) Substitute the expression found in step 1 into the other equation. (3) Solve the equation containing one variable. (4) Back-substitute the value found in step 3 into one of the original equations and find the value of the remaining variable. (5) Check the solution by substituting in one of the system of given equations. Calculation: Consider x and y as the cost of paper case and ink cartridge. The cost of 3 paper case and 5 ink cartridges is $295. 3 x + 5 y = 295 (1) The cost of a paper case is $13 more than the cost of an ink cartridges. x = 13 + y (2) By using the above procedure, solve the system of equations. Step 1: Since the equation (2) is already in terms of y , no need to isolate the variables. Step 2: Substitute 13 + y for x in the equation (1). 3 x + 5 y = 295 3 ( 13 + y ) + 5 y = 295 Here, the variable x is eliminated. Step 3: Solve the above equation. 3 ( 13 + y ) + 5 y = 295 39 + 3 y + 5 y = 295 ( Apply the distributive property ) 8 y = 295 − 39 &

11th Edition

ISBN: 8220106960455

Author: CARMAN

Publisher: PEARSON

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Chapter 11.1, Problem 9CE

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To find: The cost of a case of paper and an ink cartridge.

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Chapter 11.1, Problem 8CE

Chapter 11.1, Problem 10CE

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Chapter 11 Solutions

EBK MATHEMATICS FOR THE TRADES

Ch. 11.1 - Simplify: 2(3 + 2y) 3y Ch. 11.1 - Prob. 2LC Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...

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The cost of a case of paper and an ink cartridge.

Solution Summary: The author calculates the cost of a case of paper and an ink cartridge by solving the system of equations by Substitution method.

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To find: The cost of a case of paper and an ink cartridge.

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Chapter 11 Solutions