Explanation Given Information: The provided system of equations is 1.8 x − 2 y = 0.9 , 0.04 x + 0.18 y = 0.15 . Formula Used: The multiplication principle for any real numbers a , b and c is such that, a = b is equivalent to a ⋅ c = b ⋅ c , where c ≠ 0 . Calculation: Consider the system of equations, 1.8 x − 2 y = 0.9 …...…... (1) 0.04 x + 0.18 y = 0.15 …...…... (2) Multiply equation (1) by 0.09 and then add equation (2), 0.162 x − 0.18 y = 0.081 0.04 x + 0.18 y = 0.15 0.202 x + 0 y = 0.231 x = 231 202 Substitute x = 231 202 in the equation 1.8 x − 2 y = 0.9 , 1.8 ( 231 202 ) − 2 y = 0.9 − 2 y = 0.9 − 415.8 202 − 2 y = − 234 202 y = 117 202 The solution of the system of equations is ( 231 202 , 117 202 ) . Check the solution, Substitute x = 231 202 , y = 117 202 in the equation 1

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.3, Problem 32ES

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To calculate: The solution of the system of equations 1.8x−2y=0.9, 0.04x+0.18y=0.15. Use the multiplication principle first and then add the equations.

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Chapter 13.3, Problem 31ES

Chapter 13.3, Problem 33ES

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Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The solution of the system of equations 1.8 x − 2 y = 0.9 , 0.04 x + 0.18 y = 0.15 . Use the multiplication principle first and then add the equations.

Solution Summary: The author calculates the solution of the system of equations 1.8x-2y =0.9,0.04x+0.18y=0.15.

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To calculate: The solution of the system of equations 1.8x−2y=0.9, 0.04x+0.18y=0.15. Use the multiplication principle first and then add the equations.

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Chapter 13 Solutions