Issolvi 11x=9x/5y+13y

$$11x= \frac{ 9x }{ 5y } +13y$$

Solvi għal x

$$x=\frac{65y^{2}}{55y-9}$$

$$y\neq \frac{9}{55}\text{ and }y\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'5y.

$$11x\times 5y=9x+13y\times 5y$$

Immultiplika 11 u 5 biex tikseb 55.

$$55xy=9x+13y\times 5y$$

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

$$55xy=9x+13y^{2}\times 5$$

Immultiplika 13 u 5 biex tikseb 65.

$$55xy=9x+65y^{2}$$

Naqqas 9x miż-żewġ naħat.

$$55xy-9x=65y^{2}$$

Ikkombina t-termini kollha li fihom x.

$$\left(55y-9\right)x=65y^{2}$$

Iddividi ż-żewġ naħat b'55y-9.

$$\frac{\left(55y-9\right)x}{55y-9}=\frac{65y^{2}}{55y-9}$$

Meta tiddividi b'55y-9 titneħħa l-multiplikazzjoni b'55y-9.

$$x=\frac{65y^{2}}{55y-9}$$

Solvi għal y (complex solution)

$$y=-\frac{\sqrt{3025x^{2}-2340x}}{130}+\frac{11x}{26}$$

$$y=\frac{\sqrt{3025x^{2}-2340x}}{130}+\frac{11x}{26}\text{, }x\neq 0$$

Solvi għal y

$$y=-\frac{\sqrt{3025x^{2}-2340x}}{130}+\frac{11x}{26}$$

$$y=\frac{\sqrt{3025x^{2}-2340x}}{130}+\frac{11x}{26}\text{, }x\geq \frac{468}{605}\text{ or }x<0$$