Explanation Given: The systems of equations, 2 x 2 + 3 y 2 = 27 …...... (1) y = x + 3 …...... (2) Formula used: ( a + b ) 2 = a 2 + b 2 + 2 a b ( a − b ) 2 = a 2 + b 2 − 2 a b Calculation: From equation (2), write y in terms of x , as follows, y = x + 3 Then, y = x + 3 …..... (3) Now, use the value of y in equation (3) in (1), 2 x 2 + 3 ( x + 3 ) 2 = 27 2 x 2 + 3 ( x 2 + 9 + 6 x ) = 27 2 x 2 + 3 x 2 + 27 + 18 x = 27 5 x 2 + 18 x

MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

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ISBN: 9780135910023

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

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Chapter 9.5, Problem 10E

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To calculate: The systems of equations, 2x2+3y2=27 and y=x+3 with the use of method of substitution.

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Chapter 9.5, Problem 9E

Chapter 9.5, Problem 11E

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Chapter 9 Solutions

MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

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The systems of equations, 2 x 2 + 3 y 2 = 27 and y = x + 3 with the use of method of substitution.

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To calculate: The systems of equations, 2x2+3y2=27 and y=x+3 with the use of method of substitution.

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Chapter 9 Solutions