Explanation Given: The system of equations, x + 5 y + 4 z = − 3 , x − y − 2 z = − 3 and x + 2 y + 3 z = − 5 . Calculation: Consider the system of equations, x + 5 y + 4 z = − 3 …… (1) x − y − 2 z = − 3 …… (2) x + 2 y + 3 z = − 5 …… (3) Multiply the equation (2) by 2 then Add equations (1)and(2). x + 5 y + 4 z = − 3 2 x − 2 y − 4 z = − 6 _ 3 x + 3 y = − 9 That is, x + y = − 3 …… (1) Add equations 3 ⋅ ( 2 ) and 2 ⋅ ( 3 ) . 3 x − 3 y − 6 z = − 9 2 x + 4 y + 6 z = − 10 _ 5 x + y = − 19 The above equation, 5 x + y = − 19 …… (5) Multiply the equation (4) by − 1 then add equations ( 4 ) and ( 5 )

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ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 4, Problem 9T

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To calculate: Solution of the system of equations, x+5y+4z=−3,x−y−2z=−3 and x+2y+3z=−5.

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Chapter 4, Problem 8T

Chapter 4, Problem 10T

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Chapter 4 Solutions

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Solution of the system of equations, x + 5 y + 4 z = − 3 , x − y − 2 z = − 3 and x + 2 y + 3 z = − 5 .

Solution Summary: The author calculates the solution of the system of equations, (-4,1,-1).

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To calculate: Solution of the system of equations, x+5y+4z=−3,x−y−2z=−3 and x+2y+3z=−5.

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Chapter 4 Solutions