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

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

x uchun yechish

$$x = -\frac{905}{278} = -3\frac{71}{278} \approx -3,255395683$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 75 ga ko'paytirish.

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

150 hosil qilish uchun 75 va 2 ni ko'paytirish.

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

150 ga 122+27x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

0 hosil qilish uchun 0 va 525 ni ko'paytirish.

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

1125 ga 11x-33 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

45450 olish uchun 82575 dan 37125 ni ayirish.

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

Ikkala tarafdan 12375x ni ayirish.

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

-8325x ni olish uchun 4050x va -12375x ni birlashtirish.

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

Ikkala tarafdan 18300 ni ayirish.

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

27150 olish uchun 45450 dan 18300 ni ayirish.

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

Shartlarni qayta saralash.

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

-8340x ni olish uchun -8325x va -15x ni birlashtirish.

$$-8340x=27150$$

Ikki tarafini -8340 ga bo‘ling.

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

\frac{27150}{-8340} ulushini 30 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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