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. 5 x − 4 y = 1 (1) 3 x − 6 y = 6 (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 5 x and 3 x . To eliminate x , multiply each term of the equation (1) by 3. That is, 15 x − 12 y = 3 . (3) Similarly multiply each term of the equation (2) by –5. That is, − 15 x + 30 y = − 30 . (4) Step 3: Now add the equation (3) and (4) as follows. 15 x − 12 y = 3 − 15 x + 30 y = − 30 _ 0 x + 18 y = − 27 Step 4: Solve the above equation

11th Edition

ISBN: 9780135902028

Author: SAUNDERS

Publisher: PEARSON

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Chapter 11.1, Problem 7BE

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To solve: The system of equation 5x−4y=1 and 3x−6y=6.

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Chapter 11.1, Problem 6BE

Chapter 11.1, Problem 8BE

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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 5 x − 4 y = 1 and 3 x − 6 y = 6 .

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To solve: The system of equation 5x−4y=1 and 3x−6y=6.

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Chapter 11 Solutions