What value of x satisfies the equation 3x - 2 = 6x + 1?

SAT Nonlinear equations in one variable and systems of equations in two variables Practice Question 10 (Medium)

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Question bank / Nonlinear equations in one variable and systems of equations in two variables

Math · Advanced MathMedium

What value of $x$ satisfies the equation $\frac{3}{x - 2} = \frac{6}{x + 1}$ ?

$1$

$3$

$5$

$15$

Show answer and explanation

Answer: C

Cross-multiply: $3(x + 1) = 6(x - 2)$ . Distribute: $3x + 3 = 6x - 12$ . Then $15 = 3x$ , so $x = 5$ . Neither denominator is zero at $x = 5$ .

Choice D is the value of $3x$ , not $x$ .

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