Issolvi 18*(09*65x-35)+42*(y/10*100-50)=810

$$18 \cdot ( 09 \times 65 x - 35 ) + 42 \cdot ( \frac { y } { 10 } \cdot 100 - 50 ) = 810$$

Solvi għal y

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'10.

$$180\left(0\times 9\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Immultiplika 0 u 9 biex tikseb 0.

$$180\left(0\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Immultiplika 0 u 65 biex tikseb 0.

$$180\left(0x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Xi ħaġa mmultiplikata b'żero jirriżulta f'żero.

$$180\left(0-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Naqqas 35 minn 0 biex tikseb -35.

$$180\left(-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Immultiplika 180 u -35 biex tikseb -6300.

$$-6300+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Ikkanċella l-akbar fattur komuni 10 f'100 u 10.

$$-6300+420\left(10y-50\right)=8100$$

Uża l-propjetà distributtiva biex timmultiplika 420 b'10y-50.

$$-6300+4200y-21000=8100$$

Naqqas 21000 minn -6300 biex tikseb -27300.

$$-27300+4200y=8100$$

Żid 27300 maż-żewġ naħat.

$$4200y=8100+27300$$

Żid 8100 u 27300 biex tikseb 35400.

$$4200y=35400$$

Iddividi ż-żewġ naħat b'4200.

$$y=\frac{35400}{4200}$$

Naqqas il-frazzjoni \frac{35400}{4200} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 600.

$$y=\frac{59}{7}$$

Solvi għal x (complex solution)

$$x\in \mathrm{C}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$

Solvi għal x

$$x\in \mathrm{R}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$