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Multivariable CalculusHardChange of Variables & the Jacobian

Change of Variables & the Jacobian · Hard problem

Let u=x+3yu = x + 3y and v=x−1yv = x - 1y. Find ∣∂(x,y)∂(u,v)∣\left|\dfrac{\partial(x, y)}{\partial(u, v)}\right|. Express your answer as a common fraction.