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. x + 4 y = 27 (1) x + 2 y = 21 (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. Since the coefficient of x term in both equations are same sign, multiply the equation (2) by –1. That is, − x − 2 y = − 21 . (2) Step 3: Now add the equation (1) and (3) as follows. x + 4 y = 27 − x − 2 y = − 21 _ 0 x + 2 y = 6 Step 4: Solve the above equation

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Author: SAUNDERS

Publisher: PEARSON

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Chapter 11 Solutions

MATHEMATICS FOR THE TRADES MYMATHLAB AC

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 x + 4 y = 27 and x + 2 y = 21 .

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