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log3x-2log(3)y=1; x+3y^2=54

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The solution

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log(3*x) - 2*log(3)*y = 1
$$- y 2 \log{\left(3 \right)} + \log{\left(3 x \right)} = 1$$
       2     
x + 3*y  = 54
$$x + 3 y^{2} = 54$$
x + 3*y^2 = 54
Numerical answer [src]
x1 = 44.56949628318886 + 2.228003335604951e-18*i
y1 = 1.772992171143755 - 2.485688708541956e-19*i
x2 = 44.56949628318886 - 1.860008119039782e-22*i
y2 = 1.772992171143755 - 2.365827044778744e-24*i
x3 = 44.56949628318886 + 5.691648869579622e-35*i
y3 = 1.772992171143755 + 7.076237972998214e-37*i
x4 = 44.56949628318886
y4 = 1.772992171143755
x5 = 44.56949628318886 + 1.309815437105869e-34*i
y5 = 1.772992171143755 + 1.662750982978058e-36*i
x6 = 44.56949628318886 - 1.059728042895739e-24*i
y6 = 1.772992171143755 - 1.30155225624695e-26*i
x7 = 44.56949628319117 + 2.116189445603451e-12*i
y7 = 1.772992171143721 - 2.358738953107122e-13*i
x8 = 44.56949628318886 - 3.827667460661049e-29*i
y8 = 1.772992171143755 - 4.5969161644282e-31*i
x9 = 44.56949628318886 - 1.923273219643664e-27*i
y9 = 1.772992171143755 - 2.301537950854101e-29*i
x10 = 44.56949628318886 + 4.499839105056432e-27*i
y10 = 1.772992171143755 + 6.113926532764998e-29*i
x11 = 44.56949628318886 + 2.62126700920673e-17*i
y11 = 1.772992171143755 + 3.165993169466274e-19*i
x12 = 44.56949628318886 - 5.295518931693901e-25*i
y12 = 1.772992171143755 - 7.713796327459614e-27*i
x13 = 44.56949628318886 + 1.815365344951229e-39*i
y13 = 1.772992171143755 - 2.858452685437621e-40*i
x13 = 44.56949628318886 + 1.815365344951229e-39*i
y13 = 1.772992171143755 - 2.858452685437621e-40*i