3(2x-1)+25%text{of}x=97 eching

$$3 ( 2 x - 1 ) + 25 \% \text { of } x = 97$$

x uchun yechish

$$x=16$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-3+\frac{25}{100}x=97$$

\frac{25}{100} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6x-3+\frac{1}{4}x=97$$

\frac{25}{4}x ni olish uchun 6x va \frac{1}{4}x ni birlashtirish.

$$\frac{25}{4}x-3=97$$

3 ni ikki tarafga qo’shing.

$$\frac{25}{4}x=97+3$$

100 olish uchun 97 va 3'ni qo'shing.

$$\frac{25}{4}x=100$$

Ikki tarafini \frac{4}{25} va teskari kasri \frac{25}{4} ga ko‘paytiring.

$$x=100\times \frac{4}{25}$$

100\times \frac{4}{25} ni yagona kasrga aylantiring.

$$x=\frac{100\times 4}{25}$$

400 hosil qilish uchun 100 va 4 ni ko'paytirish.

$$x=\frac{400}{25}$$

16 ni olish uchun 400 ni 25 ga bo‘ling.

$$x=16$$