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

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

$b = 42 c f$

The given equation relates the positive numbers $b$ , $c$ , and $f$ . Which equation correctly expresses $c$ in terms of $b$ and $f$ ?

ExplanationShow

Choice A is correct. It's given that the equation $b = 42 c f$ relates the positive numbers $b$ , $c$ , and $f$ . Dividing each side of the given equation by $42 f$ yields $\frac{b}{42 f} = c$ , or $c = \frac{b}{42 f}$ . Thus, the equation $c = \frac{b}{42 f}$ correctly expresses $c$ in terms of $b$ and $f$ .

Choice B is incorrect. This equation can be rewritten as $b = c f + 42$ .

Choice C is incorrect. This equation can be rewritten as $b = \frac{c}{42 f}$ .

Choice D is incorrect. This equation can be rewritten as $b = 42 - c - f$ .

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

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