Explanation It is given that the equation is 3 x − y + 2 z − 4 = 0 . The new equation when –4 is changed to +6 becomes 3 x − y + 2 z + 6 = 0 . In order to sketch the graph, substitute the boundary points like ( a , 0 , 0 ) , ( 0 , b , 0 ) , ( 0 , 0 , c ) in the equations as follows. When the point ( a , 0 , 0 ) is substituted in the equation, the value of a is obtained as 3 ( a ) − ( 0 ) + 2 ( 0 ) + 6 = 0 3 a − 0 + 0 + 6 = 0 3 a = − 6 a = − 6 3 = − 2 That is, a = − 2 and the point on the x -axis becomes ( − 2 , 0 , 0 )

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Chapter 29.2, Problem 1E

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To change: The integer –4 to +6 in the equation 3x−y+2z−4=0 and sketch the graph of the equation.

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Chapter 29.2, Problem 2PE

Chapter 29.2, Problem 2E

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Chapter 29 Solutions

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Ch. 29.1 - Practice Exercise If f(x, y) = 4xy2 – 3x2y, find...Ch. 29.1 - Prob. 1E Ch. 29.1 - Prob. 2E Ch. 29.1 - Prob. 3E Ch. 29.1 - Prob. 4E Ch. 29.1 - Prob. 5E Ch. 29.1 - Prob. 6E Ch. 29.1 - Prob. 7E Ch. 29.1 - Prob. 8E Ch. 29.1 - Prob. 9E

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To change: The integer –4 to +6 in the equation 3 x − y + 2 z − 4 = 0 and sketch the graph of the equation.

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To change: The integer –4 to +6 in the equation 3x−y+2z−4=0 and sketch the graph of the equation.

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Chapter 29 Solutions