Question #8f65cddc - SAT Suite Question Bank

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Test
Math

Domain
Advanced Math

Skill
Nonlinear equations in one variable and systems of equations in two variables

Difficulty
Medium

ID: 8f65cddc

Modded SAT Question Bank by Abdullah Mallik

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

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

$x = \frac{7 b y}{11}$
$x = y - 77 b$
$x = \frac{y}{77 b}$
$x equals 77 b y$

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Correct Answer: C

Rationale

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.

Question Difficulty: Medium

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