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 &

11th Edition

ISBN: 8220106960455

Author: CARMAN

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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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 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