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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

$7 m = 5 (n + p)$

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

ExplanationShow

Choice B is correct. It's given that the equation $7 m = 5 (n + p)$ relates the positive numbers $m$ , $n$ , and $p$ . Dividing both sides of the given equation by $5$ yields $\frac{7 m}{5} = n + p$ . Subtracting $p$ from both sides of this equation yields $\frac{7 m}{5} - p = n$ , or $n = \frac{7 m}{5} - p$ . It follows that the equation $n = \frac{7 m}{5} - p$ 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.

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Nonlinear equations in one variable and systems of equations in two variables SAT question

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