(100-x)80=(100(1-4%)-x)(80-4*4) eching

$$(100-x)80=(100(1-4 \% )-x)(80-4 \times 4)$$

x uchun yechish

$$x=116$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

100-x ga 80 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8000-80x=\left(100\left(1-\frac{4}{100}\right)-x\right)\left(80-4\times 4\right)$$

\frac{4}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$8000-80x=\left(100\left(1-\frac{1}{25}\right)-x\right)\left(80-4\times 4\right)$$

1 ni \frac{25}{25} kasrga o‘giring.

$$8000-80x=\left(100\left(\frac{25}{25}-\frac{1}{25}\right)-x\right)\left(80-4\times 4\right)$$

\frac{25}{25} va \frac{1}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$8000-80x=\left(100\times \frac{25-1}{25}-x\right)\left(80-4\times 4\right)$$

24 olish uchun 25 dan 1 ni ayirish.

$$8000-80x=\left(100\times \frac{24}{25}-x\right)\left(80-4\times 4\right)$$

100\times \frac{24}{25} ni yagona kasrga aylantiring.

$$8000-80x=\left(\frac{100\times 24}{25}-x\right)\left(80-4\times 4\right)$$

2400 hosil qilish uchun 100 va 24 ni ko'paytirish.

$$8000-80x=\left(\frac{2400}{25}-x\right)\left(80-4\times 4\right)$$

96 ni olish uchun 2400 ni 25 ga bo‘ling.

$$8000-80x=\left(96-x\right)\left(80-4\times 4\right)$$

16 hosil qilish uchun 4 va 4 ni ko'paytirish.

$$8000-80x=\left(96-x\right)\left(80-16\right)$$

64 olish uchun 80 dan 16 ni ayirish.

$$8000-80x=\left(96-x\right)\times 64$$

96-x ga 64 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8000-80x=6144-64x$$

64x ni ikki tarafga qo’shing.

$$8000-80x+64x=6144$$

-16x ni olish uchun -80x va 64x ni birlashtirish.

$$8000-16x=6144$$

Ikkala tarafdan 8000 ni ayirish.

$$-16x=6144-8000$$

-1856 olish uchun 6144 dan 8000 ni ayirish.

$$-16x=-1856$$

Ikki tarafini -16 ga bo‘ling.

$$x=\frac{-1856}{-16}$$

116 ni olish uchun -1856 ni -16 ga bo‘ling.

$$x=116$$