Explanation 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 two unknown numbers. The sum of two numbers is 14. x + y = 14 (1) The larger number is 2 more than 3 times the smaller number. x = 2 + 3 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 2 + 3 y for x in the equation (1). x + y = 14 ( 2 + 3 y ) + y = 14 Here, the variable x is eliminated. Step 3: Solve the above equation. ( 2 + 3 y ) + y = 14 2 + 3 y + y = 14 ( Apply the distributive property ) 4 y = 14 − 2

11th Edition

ISBN: 2818440003295

Author: CARMAN

Publisher: PEARSON CP

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Chapter 11.1, Problem 2CE

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To translate: The given statement “The sum of two numbers is 14 and the larger is two more than three times the smaller” into system of equation and find those numbers.

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Chapter 11.1, Problem 1CE

Chapter 11.1, Problem 3CE

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Chapter 11 Solutions

MYLAB MATH FOR MATHEMATICS FOR THE TRAD

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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To translate: The given statement “The sum of two numbers is 14 and the larger is two more than three times the smaller” into system of equation and find those numbers.

Solution Summary: The author explains the procedure used to solve the system of equations by Substitution method.

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To translate: The given statement “The sum of two numbers is 14 and the larger is two more than three times the smaller” into system of equation and find those numbers.

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Chapter 11 Solutions