Explanation Given: The systems of equations, 3 x 2 − 4 y 2 = 12 …… (1) 7 x 2 − y 2 = 8 …… (2) Calculation: Multiply equation (2) with − 4 , and write as follows, − 4 ( 7 x 2 − y 2 ) = − 4 ( 8 ) − 28 x 2 + 4 y 2 = − 32 Then, − 28 x 2 + 4 y 2 = − 32 …… (3) Now, add equation (3) and (1), as follows, 3 x 2 − 4 y 2 = 12 − 28 x 2 + 4 y 2 = − 32 _ − 25 x 2 = − 20 Further, solve for x , 25 x 2 = 20 x 2 = 20 25 x 2 = 4 5 Then, x = 4 5 = ± 2 5 Use, the values of x in (2) and find y

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ISBN: 9780134178967

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

Publisher: PEARSON

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Chapter 9, Problem 21RP

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To calculate: The systems of equations, 3x2−4y2=12 and 7x2−y2=8.

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Chapter 9, Problem 20RP

Chapter 9, Problem 22RP

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Chapter 9 Solutions

Intermediate Algebra (8th Edition)

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Find the distance between each pair of points....

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The systems of equations, 3 x 2 − 4 y 2 = 12 and 7 x 2 − y 2 = 8 .

Solution Summary: The author explains that there is no real solution to the system of equations.

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To calculate: The systems of equations, 3x2−4y2=12 and 7x2−y2=8.

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Chapter 9 Solutions