eliminating the parameter x=3t-3 y=2t+1

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solve first equation for t   (x + 3)/3 = t Solve second equation for t (y - 1)/2 = t Set the two expression equal (x + 3)/3 = (y - 1)/2 Cross multiply 2(x + 3) = 3(y - 1) 2x + 6 = 3y - 3 2x - 3y = -9