What is the value of 36x^2−108xy+81y^2 ? (1) 3y−2x=−4 (2) x= 5y

Free Practice Question

DS · Data Sufficiency

605-655

Algebra

What is the value of $36x^2−108xy+81y^2$ ?

(1) $3y−2x=−4$

(2) $x=\frac{5}{y}$

Correct answer marked below

Statement (1) ALONE is sufficient

Correct

Statement (2) ALONE is sufficient

BOTH statements TOGETHER are sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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What this question tests

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

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