Explanation Given: The system is x + y = 1 ( x − 1 ) 2 + ( y + 2 ) 2 = 10 Calculation: The stated algebraic equations are follows: x + y = 1 (I) ( x − 1 ) 2 + ( y + 2 ) 2 = 10 (II) Now demonstrating the following steps as follows: Step 1: Solve one of the equations for variable x in terms of y . x + y = 1 y = 1 − x (III) Step 2: Put the value of y in equation (II)and solve it as follows: ( x − 1 ) 2 + ( y + 2 ) 2 = 10 ( x − 1 ) 2 + ( 1 − x + 2 ) 2 = 10 ( x − 1 ) 2 + ( − x + 3 ) 2 = 10 x 2 + 1 − 2 x + x 2 + 9 − 6 x = 10 2 x 2 + 10 − 8 x = 10 2 x 2 − 8 x = 0 x 2 − 4 x = 0 x ( x − 4 ) = 0 x = 0 o r x − 4 = 0 x = 0 x = 4 So, x = 0 , 4 are the two values of this equation

MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry

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ISBN: 9780137393831

Author: ROBERT BLITZER

Publisher: Pearson Education (US)

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Chapter 8.4, Problem 17E

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To calculate: Using substitution method to find the values of x and y where the system is x+y=1(x−1)2+(y+2)2=10

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Chapter 8.4, Problem 16E

Chapter 8.4, Problem 18E

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Using substitution method to find the values of x and y where the system is x + y = 1 ( x − 1 ) 2 + ( y + 2 ) 2 = 10

Solution Summary: The author demonstrates the following steps to solve the algebraic equations for variables x and y.

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To calculate: Using substitution method to find the values of x and y where the system is x+y=1(x−1)2+(y+2)2=10

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