Issolvi (122+27x)*2-(15x-0525):75=1101+15(11x-33)

$$( 122 + 27 x ) \cdot 2 - ( 15 x - 0525 ) : 75 = 1101 + 15 ( 11 x - 33 )$$

Solvi għal x

$$x = -\frac{905}{278} = -3\frac{71}{278} \approx -3.255395683$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'75.

$$75\left(122+27x\right)\times 2-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Immultiplika 75 u 2 biex tikseb 150.

$$150\left(122+27x\right)-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Uża l-propjetà distributtiva biex timmultiplika 150 b'122+27x.

$$18300+4050x-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Immultiplika 0 u 525 biex tikseb 0.

$$18300+4050x-\left(15x-0\right)=82575+1125\left(11x-33\right)$$

Uża l-propjetà distributtiva biex timmultiplika 1125 b'11x-33.

$$18300+4050x-\left(15x-0\right)=82575+12375x-37125$$

Naqqas 37125 minn 82575 biex tikseb 45450.

$$18300+4050x-\left(15x-0\right)=45450+12375x$$

Naqqas 12375x miż-żewġ naħat.

$$18300+4050x-\left(15x-0\right)-12375x=45450$$

Ikkombina 4050x u -12375x biex tikseb -8325x.

$$18300-8325x-\left(15x-0\right)=45450$$

Naqqas 18300 miż-żewġ naħat.

$$-8325x-\left(15x-0\right)=45450-18300$$

Naqqas 18300 minn 45450 biex tikseb 27150.

$$-8325x-\left(15x-0\right)=27150$$

Erġa' ordna t-termini.

$$-8325x-15x=27150$$

Ikkombina -8325x u -15x biex tikseb -8340x.

$$-8340x=27150$$

Iddividi ż-żewġ naħat b'-8340.

$$x=\frac{27150}{-8340}$$

Naqqas il-frazzjoni \frac{27150}{-8340} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 30.

$$x=-\frac{905}{278}$$