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 x and y as the two unknown numbers. The sum of two numbers is 38. x + y = 38 (1) And the difference is 14. x − y = 14 (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. Since the coefficient of y term in both equations are opposite to each other, no need to multiply the equation. Step 3: Now add the equation (1) and (2) as follows. x + y = 38 x − y = 14 _ 2 x + 0 y = 52 Step 4: Solve the above equation

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, Problem 1CPS

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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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Two numbers whose sum is 38 and difference is 14.

Solution Summary: The author explains how to solve linear systems by adding two numbers, whose sum is 38 and difference is 14.

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