Datrys 6xdiv10xy=z

$$6 x \div 10 x y = z$$

Datrys ar gyfer y (complex solution)

$$\left\{\begin{matrix}y=\frac{5z}{3x^{2}}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Rhannu 6x â 10 i gael \frac{3}{5}x.

$$\frac{3}{5}xxy=z$$

Lluosi x a x i gael x^{2}.

$$\frac{3}{5}x^{2}y=z$$

Mae'r hafaliad yn y ffurf safonol.

$$\frac{3x^{2}}{5}y=z$$

Rhannu’r ddwy ochr â \frac{3}{5}x^{2}.

$$\frac{5\times \frac{3x^{2}}{5}y}{3x^{2}}=\frac{5z}{3x^{2}}$$

Mae rhannu â \frac{3}{5}x^{2} yn dad-wneud lluosi â \frac{3}{5}x^{2}.

$$y=\frac{5z}{3x^{2}}$$

Datrys ar gyfer y

$$\left\{\begin{matrix}y=\frac{5z}{3x^{2}}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Rhannu 6x â 10 i gael \frac{3}{5}x.

$$\frac{3}{5}xxy=z$$

Lluosi x a x i gael x^{2}.

$$\frac{3}{5}x^{2}y=z$$

Mae'r hafaliad yn y ffurf safonol.

$$\frac{3x^{2}}{5}y=z$$

Rhannu’r ddwy ochr â \frac{3}{5}x^{2}.

$$\frac{5\times \frac{3x^{2}}{5}y}{3x^{2}}=\frac{5z}{3x^{2}}$$

Mae rhannu â \frac{3}{5}x^{2} yn dad-wneud lluosi â \frac{3}{5}x^{2}.

$$y=\frac{5z}{3x^{2}}$$

Datrys ar gyfer x (complex solution)

$$\left\{\begin{matrix}x=-\frac{y^{-\frac{1}{2}}\sqrt{15z}}{3}\text{; }x=\frac{y^{-\frac{1}{2}}\sqrt{15z}}{3}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x=\frac{\sqrt{\frac{15z}{y}}}{3}\text{; }x=-\frac{\sqrt{\frac{15z}{y}}}{3}\text{, }&\left(z\geq 0\text{ and }y>0\right)\text{ or }\left(z\leq 0\text{ and }y<0\right)\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$