Explanation Procedure used: Solving system of linear equations by elimination: “(1) If the equations are not in the standard form, then they are converted accordingly into a standard form. (2) The variable to be eliminated is recognized from the given equations in the system. (3) After obtaining the LCM (lowest common multiple) of coefficients of the variable to be eliminated, the equations are multiplied with appropriate multipliers so that the coefficients in each equation become additive inverses and adding the new equations will result in a fresh equation with the decided variable to been eliminated. (4) The equation in step (3) is solved obtaining value of remaining variable. (5) The value of variable in step (4) is substituted to the equation in any of the given system equations. (6) Solving the equation obtained in step (5) gives the value of variable eliminated in step (3). (7) The correctness of solution is asserted by substituting back the values in given equations of the system”. Calculation: Consider the given equations as, 3 x + 2 y = − 3 (1) 5 x − y = − 18 (2) Step 1: Notice that, the given equations are already in standard form. Step 2: The coefficient of y in equation (1) is 2 and in equation (2) is − 1 . So, y is a better choice of variable to be eliminated in the linear equation. Step 3: Now, multiply equation (2) by 2 and add both equations of given system. 3 x + 2 y = − 3 10 x − 2 y = − 36 _ 13 x = − 39 The obtained equation is 13 x = − 39 . Step 4: The equation obtained in Step (3) is solved as, 13 x = − 39 x = − 39 13 x = − 3 Thus, the value of x is − 3 . Step-5: Now, substitute the value of x = − 3 in the equation (1) as follows

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ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter 4, Problem 9T

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To solve: The given system of linear equations 3x+2y=−3 and 5x−y=−18 by elimination method.

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Chapter 4, Problem 8T

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Chapter 4 Solutions

Elementary & Intermediate Algebra

Ch. 4.1 - A _____ is a grouping of two or more linear...Ch. 4.1 - A _____ of a system of equations consists of...Ch. 4.1 - Prob. 3E Ch. 4.1 - In Problems 3 and 4, determine whether each...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - In Problem 8, solve the system by graphing. 8....Ch. 4.1 - Prob. 9E Ch. 4.1 - If a system of linear equations in two variables...

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The given system of linear equations 3 x + 2 y = − 3 and 5 x − y = − 18 by elimination method.

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To solve: The given system of linear equations 3x+2y=−3 and 5x−y=−18 by elimination method.

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