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2017 AMC 10BProblem 4P1-10~2 minPrint
Algebraic ManipulationLinear Equations & Word ProblemsSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

Suppose that xx and yy are nonzero real numbers such that 3x+yx−3y=−2\frac{3x+y}{x-3y}=-2 . What is the value of x+3y3x−y\frac{x+3y}{3x-y} ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.