Solve {l}{x*y^4-x=15}{x*y^3=2x+x*y+xy^2}

$$\left. \begin{array} { l } { x \cdot y ^ { 4 } - x = 15 } \\ { x \cdot y ^ { 3 } = 2 x + x \cdot y + x y ^ { 2 } } \end{array} \right.$$

Solve for x, y (complex solution)

$$x=1\text{, }y=2$$

$$x=\frac{-15+5\sqrt{3}i}{2}\approx -7.5+4.330127019i\text{, }y=\frac{-\sqrt{3}i-1}{2}\approx -0.5-0.866025404i$$

$$x=\frac{-5\sqrt{3}i-15}{2}\approx -7.5-4.330127019i\text{, }y=\frac{-1+\sqrt{3}i}{2}\approx -0.5+0.866025404i$$

Solve for x, y

$$x=1$$

$$y=2$$