(1.22+2.7x)*2-(1.5x-0.525):7.5=11.01+1.5(1.1x-3.3) eching

$$( 1.22 + 2.7 x ) \cdot 2 - ( 1.5 x - 0.525 ) : 7.5 = 11.01 + 1.5 ( 1.1 x - 3.3 )$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

1,22+2,7x ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2,44+5,4x-\frac{1,5x-0,525}{7,5}=11,01+1,5\left(1,1x-3,3\right)$$

1,5 ga 1,1x-3,3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2,44+5,4x-\frac{1,5x-0,525}{7,5}=11,01+1,65x-4,95$$

6,06 olish uchun 11,01 dan 4,95 ni ayirish.

$$2,44+5,4x-\frac{1,5x-0,525}{7,5}=6,06+1,65x$$

\frac{1,5x}{7,5}+\frac{-0,525}{7,5} natijani olish uchun 1,5x-0,525 ning har bir ifodasini 7,5 ga bo‘ling.

$$2,44+5,4x-\left(\frac{1,5x}{7,5}+\frac{-0,525}{7,5}\right)=6,06+1,65x$$

0,2x ni olish uchun 1,5x ni 7,5 ga bo‘ling.

$$2,44+5,4x-\left(0,2x+\frac{-0,525}{7,5}\right)=6,06+1,65x$$

\frac{-0,525}{7,5} kasrini uning surat va maxrajini 1000 ga ko‘paytirish bilan kengaytiring.

$$2,44+5,4x-\left(0,2x+\frac{-525}{7500}\right)=6,06+1,65x$$

\frac{-525}{7500} ulushini 75 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2,44+5,4x-\left(0,2x-\frac{7}{100}\right)=6,06+1,65x$$

0,2x-\frac{7}{100} teskarisini topish uchun har birining teskarisini toping.

$$2,44+5,4x-0,2x-\left(-\frac{7}{100}\right)=6,06+1,65x$$

-\frac{7}{100} ning teskarisi \frac{7}{100} ga teng.

$$2,44+5,4x-0,2x+\frac{7}{100}=6,06+1,65x$$

5,2x ni olish uchun 5,4x va -0,2x ni birlashtirish.

$$2,44+5,2x+\frac{7}{100}=6,06+1,65x$$

2,44 o‘nlik raqamni uning \frac{244}{100} kasrga o‘giring. \frac{244}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{61}{25}+5,2x+\frac{7}{100}=6,06+1,65x$$

25 va 100 ning eng kichik umumiy karralisi 100 ga teng. \frac{61}{25} va \frac{7}{100} ni 100 maxraj bilan kasrlarga aylantirib oling.

$$\frac{244}{100}+5,2x+\frac{7}{100}=6,06+1,65x$$

\frac{244}{100} va \frac{7}{100} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{244+7}{100}+5,2x=6,06+1,65x$$

251 olish uchun 244 va 7'ni qo'shing.

$$\frac{251}{100}+5,2x=6,06+1,65x$$

Ikkala tarafdan 1,65x ni ayirish.

$$\frac{251}{100}+5,2x-1,65x=6,06$$

3,55x ni olish uchun 5,2x va -1,65x ni birlashtirish.

$$\frac{251}{100}+3,55x=6,06$$

Ikkala tarafdan \frac{251}{100} ni ayirish.

$$3,55x=6,06-\frac{251}{100}$$

6,06 o‘nlik raqamni uning \frac{606}{100} kasrga o‘giring. \frac{606}{100} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3,55x=\frac{303}{50}-\frac{251}{100}$$

50 va 100 ning eng kichik umumiy karralisi 100 ga teng. \frac{303}{50} va \frac{251}{100} ni 100 maxraj bilan kasrlarga aylantirib oling.

$$3,55x=\frac{606}{100}-\frac{251}{100}$$

\frac{606}{100} va \frac{251}{100} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$3,55x=\frac{606-251}{100}$$

355 olish uchun 606 dan 251 ni ayirish.

$$3,55x=\frac{355}{100}$$

\frac{355}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3,55x=\frac{71}{20}$$

Ikki tarafini 3,55 ga bo‘ling.

$$x=\frac{\frac{71}{20}}{3,55}$$

1 ni olish uchun \frac{71}{20} ni 3,55 ga bo‘ling.

$$x=1$$