Explanation Given Information: The provided equation x + y = − 7 and x − y = 2 . Formula used: For solving the equation of two variables following steps are follows, Step 1 : Choose any one variable from the provided equations whose coefficient is to be made identical and of opposite sign by multiplying with a constant to both side of the equations. Step 2 : Add the equations for eliminating one variable. Step 3 : The second variable is solved after elimination of another variable. Step 4 : Substitute the value of obtained variable to any of the original equation for solving another variable. Step 5 : For verification, substitute the value of both the variables to the original equations. Calculation: Consider the equation, x + y = − 7 and x − y = 2 The coefficients of y in both the equation are same and are of opposite sign. Therefore, add both equations as follows, x + y = − 7 x − y = 2 _ 2 x = − 5 Now solve the value of x by dividing equation 2 x = − 5 by 2 as follows, 2 x 2 = − 5 2 x = − 5 2 Substitute the value of x = − 5 2 in the equation x + y = − 7 as follows, − 5 2 + y = − 7 Now solve the value of y by adding 5 2 to both sides of the equations − 5 2 + y = − 7 as follows

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ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 14.3, Problem 81ES

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To calculate: The value of variable x and y for the equation x+y=−7 and x−y=2.

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Chapter 14.3, Problem 80ES

Chapter 14.3, Problem 82ES

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Chapter 14 Solutions

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Ch. 14.1 - Prob. 1SR Ch. 14.1 - Prob. 2SR Ch. 14.1 - Prob. 1DE Ch. 14.1 - Prob. 2DE Ch. 14.1 - Prob. 3DE Ch. 14.1 - Prob. 4DE Ch. 14.1 - Prob. 5DE Ch. 14.1 - Prob. 6DE Ch. 14.1 - Prob. 7DE Ch. 14.1 - Prob. 8DE

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The value of variable x and y for the equation x + y = − 7 and x − y = 2 .

Solution Summary: The author calculates the value of variables x and y for the equations

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To calculate: The value of variable x and y for the equation x+y=−7 and x−y=2.

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Chapter 14 Solutions