Explanation Procedure used: Solving linear systems by Addition: (1) If necessary, rewrite both equation in the form of A x + B y = C . (2) If necessary, multiply either equation or both equation by appropriate nonzero numbers so that the sum of the x- coefficient or the sum of the y- coefficients is 0. (3) Add the equation in step 2. The sum is an equation in one variable. (4) Solve the equation in one variable. (5) Back-substitute the value found in step 4 either of the given equations and solve for the other variable. (6) Check the solution in either of the original equations. Calculation: Consider the given equations. 3 x + 4 y = 11 (1) 2 x + 2 y = 7 (2) By using the above procedure, solve the system of equations. Step 1: The equations (1) and (2) are in the form A x + B y = C . Step 2: Let eliminate the term y. Consider the y term in each equation that are 4 y and 2 y . To eliminate y , multiply each term of the equation (2) by –2. That is, − 4 x − 4 y = − 14 . (3) Step 3: Now add the equation (1) and (3) as follows. 3 x + 4 y = 11 − 4 x − 4 y = − 14 _ − 1 x + 0 y = − 3 Step 4: Solve the above equation

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

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Chapter 11.1, Problem 12BE

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To solve: The system of equation 3x+4y=11 and 2x+2y=7.

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Chapter 11.1, Problem 11BE

Chapter 11.1, Problem 1CE

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

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 equation 3 x + 4 y = 11 and 2 x + 2 y = 7 .

Solution Summary: The author explains the procedure used to solve linear systems.

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To solve: The system of equation 3x+4y=11 and 2x+2y=7.

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Chapter 11 Solutions