Issolvi 6xdiv10xy=z

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

Solvi għal y

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Iddividi 6x b'10 biex tikseb\frac{3}{5}x.

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

Immultiplika x u x biex tikseb x^{2}.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat b'\frac{3}{5}x^{2}.

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

Meta tiddividi b'\frac{3}{5}x^{2} titneħħa l-multiplikazzjoni b'\frac{3}{5}x^{2}.

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

Solvi għal x

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