Lutasin ang {l}{6r+6y=5xy}{4/x-3/y=1}

$$\left\{ \begin{array} { l } { 6 r + 6 y = 5 x y } \\ { \frac { 4 } { x } - \frac { 3 } { y } = 1 } \end{array} \right.$$

I-solve ang x, y (complex solution)

$$\left\{\begin{matrix}\\x=\frac{\sqrt{r^{2}+34r+9}-r+3}{5}\text{, }y=\frac{3\left(\sqrt{r^{2}+34r+9}+r+3\right)}{14}\text{, }&\text{unconditionally}\\x=\frac{4\left(-\sqrt{r^{2}+34r+9}+r+3\right)}{-\sqrt{r^{2}+34r+9}+r+17}\text{, }y=\frac{3\left(-\sqrt{r^{2}+34r+9}+r+3\right)}{14}\text{, }&r\neq 0\end{matrix}\right.$$

I-solve ang x, y

$$\left\{\begin{matrix}x=\frac{\sqrt{r^{2}+34r+9}-r+3}{5}\text{, }y=\frac{3\left(\sqrt{r^{2}+34r+9}+r+3\right)}{14}\text{, }&r\geq 2\sqrt{70}-17\text{ or }r\leq -2\sqrt{70}-17\\x=\frac{4\left(-\sqrt{r^{2}+34r+9}+r+3\right)}{-\sqrt{r^{2}+34r+9}+r+17}\text{, }y=\frac{3\left(-\sqrt{r^{2}+34r+9}+r+3\right)}{14}\text{, }&\left(r\neq 0\text{ and }r\geq 2\sqrt{70}-17\right)\text{ or }r\leq -2\sqrt{70}-17\end{matrix}\right.$$