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 + 2 y = 13 (1) 5 x + 3 y = 20 (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 x. Consider the x term in each equation that are 3 x and 5 x . To eliminate x , multiply each term of the equation (1) by 5. That is, 15 x + 10 y = 65 . (3) Similarly multiply each term of the equation (2) by –3. That is, − 15 x − 9 y = − 60 . (4) Step 3: Now add the equation (3) and (4) as follows

Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)

11th Edition

ISBN: 9780134765785

Author: Hal Saunders

Publisher: PEARSON

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Chapter 11.1, Problem 11BE

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To solve: The system of equation 3x+2y=13 and 5x+3y=20.

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Chapter 11.1, Problem 10BE

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)

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 + 2 y = 13 and 5 x + 3 y = 20 .

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To solve: The system of equation 3x+2y=13 and 5x+3y=20.

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