Explanation Given information: The equation as below: x − 3 y = 9 Formula used: For any real number a and b , add the opposite of the number to subtract it from the number as below: a − b = a + ( − b ) By the addition principle, for any real numbers a, b and c, with c ≠ 0 a = b is equivalent to a + c = b + c By the multiplication principle, for any real numbers a, b and c, with c ≠ 0 c ≠ 0 is equivalent to a ⋅ c = b ⋅ c Calculation: Consider the equation as below: x − 3 y = 9 To solve it for y means, y is to be isolated on one side: Use the addition principle and add ( − x ) on both the side of the given equation as below: x − 3 y = 9 x − 3 y + ( − x ) = 9 + ( − x ) Use the addition of opposite property and simplify as below:

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 8.1, Problem 30E

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To calculate: The solution of the equation x−3y=9 for y in terms of x.

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Chapter 8.1, Problem 29E

Chapter 8.1, Problem 31E

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The solution of the equation x − 3 y = 9 for y in terms of x .

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