Explanation Given Information: The provided system of equation is { x − y = − 6 x + y = 2 . Formula used: The system of equations is solved by using elimination method via addition principle. Calculation: Consider the system of equation, { x − y = − 6 x + y = 2 Here both the equations have one same but opposite term, y and − y . So, apply addition principle, add both the left sides and the right sides of the equation by using vertical form to remove the variable y , x − y = − 6 x + y = 2 2 x + 0 y = − 4 ¯ Then the resultant equation is, 2 x = − 4 Now the equation is in one variable, solve for x , 2 x = − 4 x = − 4 2 = − 2 Therefore the value of x is − 2

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Chapter 14.2, Problem 87ES

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To calculate: The solutions of the system of equations {x−y=−6x+y=2.

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Chapter 14.2, Problem 86ES

Chapter 14.2, Problem 88ES

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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 solutions of the system of equations { x − y = − 6 x + y = 2 .

Solution Summary: The author explains how the system of equations is solved by using elimination method via addition principle.

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To calculate: The solutions of the system of equations {x−y=−6x+y=2.

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Chapter 14 Solutions