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. Definition used: Inconsistent : In solving a system of equations and it produce a false statement, then the equation is said to be inconsistent. The inconsistent system of equations has no solution. Calculation: Consider the given equations. 2 y = 2 x + 2 (1) 4 y = 5 + 4 x (2) By using the above procedure, solve the system of equations. Step 1: Let eliminate the term y. Since the coefficients of y terms are 2 and 4, multiply the equation (1) by –2. That is, − 4 y = − 4 x − 4 . (3) Step 2: Let eliminate the term y

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Chapter 11.1, Problem 4BE

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To solve: The system of equation 2y=2x+2 and 4y=5+4x.

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Chapter 11.1, Problem 3BE

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Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

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...Ch. 11.1 - Prob. 1BE Ch. 11.1 - Solve each of the following systems of equations....

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The system of equation 2 y = 2 x + 2 and 4 y = 5 + 4 x .

Solution Summary: The author explains how to solve a linear system of equations.

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To solve: The system of equation 2y=2x+2 and 4y=5+4x.

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Chapter 11 Solutions