Resolver {l}{2dy*4x=-20}{6x=4y+10}

$$\left. \begin{array} { l } { 2 d y \cdot 4 x = - 20 } \\ { 6 x = 4 y + 10 } \end{array} \right.$$

Ebatzi: x, y (complex solution)

$$x=-\frac{\sqrt{25d^{2}-60d}}{6d}+\frac{5}{6}\text{, }y=-\frac{\sqrt{25d^{2}-60d}}{4d}-\frac{5}{4}$$

$$x=\frac{\sqrt{25d^{2}-60d}}{6d}+\frac{5}{6}\text{, }y=\frac{\sqrt{25d^{2}-60d}}{4d}-\frac{5}{4}\text{, }d\neq 0$$

Ebatzi: x, y

$$\left\{\begin{matrix}x=-\frac{\sqrt{25d^{2}-60d}}{6d}+\frac{5}{6}\text{, }y=-\frac{\sqrt{25d^{2}-60d}}{4d}-\frac{5}{4}\text{; }x=\frac{\sqrt{25d^{2}-60d}}{6d}+\frac{5}{6}\text{, }y=\frac{\sqrt{25d^{2}-60d}}{4d}-\frac{5}{4}\text{, }&d<0\\x=\frac{-\sqrt{25-\frac{60}{d}}+5}{6}\text{, }y=\frac{-\sqrt{25-\frac{60}{d}}-5}{4}\text{; }x=\frac{\sqrt{25-\frac{60}{d}}+5}{6}\text{, }y=\frac{\sqrt{25-\frac{60}{d}}-5}{4}\text{, }&d\geq \frac{12}{5}\end{matrix}\right.$$