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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

6r=7s+t

The given equation relates the variables r , s , and t . Which equation correctly expresses s in terms of r and t ?

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Explanation

Choice D is correct. Subtracting t from both sides of the given equation yields 6r-t=7s. Dividing both sides of this equation by 7 yields 6r-t7=s. Therefore, the equation s=6r-t7 correctly expresses s in terms of r and t .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.