If xy= 45, which of the following statements is false?

[m]\frac{x-y}{y}=\frac{1}{5}[/m]

If xy= 45, which of the following statements… | GMAT Sprint

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Algebra

If $\frac{x}{y}=\frac{4}{5}$ , which of the following statements is false?

Answer Choices

Correct answer marked below

\frac{x+y}{y}=\frac{9}{5}

\frac{y}{y-x}=5

\frac{x-y}{y}=\frac{1}{5}

Correct

\frac{4x}{5y}=\frac{16}{25}

\frac{x+5y}{x}=\frac{29}{4}

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Official Explanation

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\frac{x}{y}=\frac{4}{5}

, one possible set of values for x and y is x = 4 and y = 5. Substituting these values into the options, we find that all options are true except for C: [m]\frac{4-5}{5}=-\frac{1}{5}…

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What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If xy=45\frac{x}{y}=\frac{4}{5}yx​=54​, which of the following statements is false?