x=260-150+0.1/2*(150+x) eching

$$x = 260 - 150 + \frac { 0.1 } { 2 } \cdot ( 150 + x )$$

x uchun yechish

$$x = \frac{2350}{19} = 123\frac{13}{19} \approx 123,684210526$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

110 olish uchun 260 dan 150 ni ayirish.

$$x=110+\frac{0,1}{2}\left(150+x\right)$$

\frac{0,1}{2} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$x=110+\frac{1}{20}\left(150+x\right)$$

\frac{1}{20} ga 150+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x=110+\frac{1}{20}\times 150+\frac{1}{20}x$$

\frac{150}{20} hosil qilish uchun \frac{1}{20} va 150 ni ko'paytirish.

$$x=110+\frac{150}{20}+\frac{1}{20}x$$

\frac{150}{20} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=110+\frac{15}{2}+\frac{1}{20}x$$

110 ni \frac{220}{2} kasrga o‘giring.

$$x=\frac{220}{2}+\frac{15}{2}+\frac{1}{20}x$$

\frac{220}{2} va \frac{15}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$x=\frac{220+15}{2}+\frac{1}{20}x$$

235 olish uchun 220 va 15'ni qo'shing.

$$x=\frac{235}{2}+\frac{1}{20}x$$

Ikkala tarafdan \frac{1}{20}x ni ayirish.

$$x-\frac{1}{20}x=\frac{235}{2}$$

\frac{19}{20}x ni olish uchun x va -\frac{1}{20}x ni birlashtirish.

$$\frac{19}{20}x=\frac{235}{2}$$

Ikki tarafini \frac{20}{19} va teskari kasri \frac{19}{20} ga ko‘paytiring.

$$x=\frac{235}{2}\times \frac{20}{19}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{235}{2} ni \frac{20}{19} ga ko‘paytiring.

$$x=\frac{235\times 20}{2\times 19}$$

\frac{235\times 20}{2\times 19} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{4700}{38}$$

\frac{4700}{38} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{2350}{19}$$