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 the given equations. y = 3 x − 5 (1) 6 x − 3 y = 3 (2) By using the above procedure, solve the system of equations. Step 1: Since the equation (1) is already in terms of x , no need to isolate the variable y . Step 2: Substitute 3 x − 5 for x in the equation (2). 6 x − 3 y = 3 6 x − 3 ( 3 x − 5 ) = 3 Here, the variable y is eliminated. Step 3: Solve the above equation. 6 x − 3 ( 3 x − 5 ) = 3 6 x − 9 x + 15 = 3 ( Apply the distributive property ) − 3 x = 3 − 15

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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Chapter 11.1, Problem 8BE

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To solve: The system of equation y=3x−5 and 6x−3y=3.

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Chapter 11.1, Problem 7BE

Chapter 11.1, Problem 9BE

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

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...Ch. 11.1 - Prob. 1BE Ch. 11.1 - Solve each of the following systems of equations....

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The system of equation y = 3 x − 5 and 6 x − 3 y = 3 .

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

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To solve: The system of equation y=3x−5 and 6x−3y=3.

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Chapter 11 Solutions