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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.

$\frac{1}{7 b} = \frac{11 x}{y}$

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

ExplanationShow

Choice C is correct. Multiplying each side of the given equation by $y$ yields the equivalent equation $\frac{y}{7 b} = 11 x$ . Dividing each side of this equation by $11$ yields $\frac{y}{77 b} = x$ , or $x = \frac{y}{77 b}$ .

Choice A is incorrect. This equation is not equivalent to the given equation.

Choice B is incorrect. This equation is not equivalent to the given equation.

Choice D is incorrect. This equation is not equivalent to the given equation.

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

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