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 equation as follows. 3 x + 4 y = 5 (1) x − 2 y = − 5 (2) By using the above procedure, solve the system of equations. Step 1: Isolate the variable y to obtain the value of x from the equation (2). x − 2 y = − 5 x − 2 y + 2 y = − 5 + 2 y ( Solve for x by addinging 2 y on both sides ) x = 2 y − 5 Step 2: Substitute 2 y − 5 for x in the equation (1). 3 x + 4 y = 5 3 ( 2 y − 5 ) + 4 y = 5 Here, the variable x is eliminated. Step 3: Solve the above equation. 3 ( 2 y − 5 ) + 4 y = 5 6 y − 15 + 4 y = 5 ( Apply the distributive property ) 10 y = 5 + 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 7AE

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To solve: The system of equations 3x+4y=5 and x−2y=−5 by substitution method.

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Chapter 11.1, Problem 6AE

Chapter 11.1, Problem 8AE

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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.

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 equations 3 x + 4 y = 5 and x − 2 y = − 5 by substitution method.

Solution Summary: The author explains how to solve the system of equations by substitution method.

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To solve: The system of equations 3x+4y=5 and x−2y=−5 by substitution method.

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Chapter 11 Solutions