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

7m=5n+p

The given equation relates the positive numbers m , n , and p . Which equation correctly gives n in terms of m and p ?

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Explanation

Choice B is correct. It's given that the equation 7m=5n+p relates the positive numbers m , n , and p . Dividing both sides of the given equation by 5 yields 7m5=n+p. Subtracting p from both sides of this equation yields 7m5-p=n, or n=7m5-p. It follows that the equation n=7m5-p correctly gives n in terms of m and p .

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

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

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