Explanation The given system of equations is, x 2 + y 2 + 4 x = 1 ⋯ ⋯ ( 1 ) x 2 + y 2 − 2 y = 9 ⋯ ⋯ ( 2 ) Subtract equation (2) and (1) and then solve the two equation as follows. x 2 + y 2 + 4 x = 1 − x 2 − y 2 + 2 y = − 9 _ 4 x + 2 y = − 8 On further simplifications, 4 x + 2 y = − 8 2 x + y = − 4 y = − 2 x − 4 Substitute − 2 x − 4 for y in the equation x 2 + y 2 + 4 x = 1 and obtain the value of x as follows

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Chapter 14.2, Problem 27E

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To solve: The system of equations x2+y2+4x=1 and x2+y2−2y=9 algebraically by substitution.

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Chapter 14.2, Problem 26E

Chapter 14.2, Problem 28E

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Chapter 14 Solutions

Basic Technical Mathematics

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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The system of equations x 2 + y 2 + 4 x = 1 and x 2 + y 2 − 2 y = 9 algebraically by substitution.

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To solve: The system of equations x2+y2+4x=1 and x2+y2−2y=9 algebraically by substitution.

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Chapter 14 Solutions