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

P=N19-C

The given equation relates the positive numbers P , N , and C . Which equation correctly expresses C in terms of P and N ?

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Explanation

Choice D is correct. It's given that the values of P , N , and C are positive. Therefore, dividing each side of the given equation by N yields PN=19-C. Subtracting 19 from each side of this equation yields PN-19=-C. Dividing each side of this equation by -1 yields 19-PN=C, or C=19-PN.

Choice A is incorrect. This equation is equivalent to P=NC-19, not P=N19-C.

Choice B is incorrect. This equation is equivalent to P=19-NC, not P=N19-C.

Choice C is incorrect. This equation is equivalent to P=NC-19, not P=N19-C.