Issolvi 7x-5y(x+36y)=7

$$7x-5y(x+36y)=7$$

Solvi għal x

$$x=\frac{180y^{2}+7}{7-5y}$$

$$y\neq \frac{7}{5}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika -1 u 5 biex tikseb -5.

$$7x-5y\left(x+36y\right)=7$$

Uża l-propjetà distributtiva biex timmultiplika -5y b'x+36y.

$$7x-5yx-180y^{2}=7$$

Żid 180y^{2} maż-żewġ naħat.

$$7x-5yx=7+180y^{2}$$

Ikkombina t-termini kollha li fihom x.

$$\left(7-5y\right)x=7+180y^{2}$$

L-ekwazzjoni hija f'forma standard.

$$\left(7-5y\right)x=180y^{2}+7$$

Iddividi ż-żewġ naħat b'-5y+7.

$$\frac{\left(7-5y\right)x}{7-5y}=\frac{180y^{2}+7}{7-5y}$$

Meta tiddividi b'-5y+7 titneħħa l-multiplikazzjoni b'-5y+7.

$$x=\frac{180y^{2}+7}{7-5y}$$

Solvi għal y (complex solution)

$$y=\frac{\sqrt{25x^{2}+5040x-5040}}{360}-\frac{x}{72}$$

$$y=-\frac{\sqrt{25x^{2}+5040x-5040}}{360}-\frac{x}{72}$$

Solvi għal y

$$y=\frac{\sqrt{25x^{2}+5040x-5040}}{360}-\frac{x}{72}$$

$$y=-\frac{\sqrt{25x^{2}+5040x-5040}}{360}-\frac{x}{72}\text{, }x\geq \frac{12\sqrt{1799}-504}{5}\text{ or }x\leq \frac{-12\sqrt{1799}-504}{5}$$