1/4x+8/9=-6/12 eching

$$\frac{ 1 }{ 4 } x+ \frac{ 8 }{ 9 } = \frac{ -6 }{ 12 }$$

x uchun yechish

$$x = -\frac{50}{9} = -5\frac{5}{9} \approx -5,555555556$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{-6}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}x+\frac{8}{9}=-\frac{1}{2}$$

Ikkala tarafdan \frac{8}{9} ni ayirish.

$$\frac{1}{4}x=-\frac{1}{2}-\frac{8}{9}$$

2 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{1}{2} va \frac{8}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{4}x=-\frac{9}{18}-\frac{16}{18}$$

-\frac{9}{18} va \frac{16}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{4}x=\frac{-9-16}{18}$$

-25 olish uchun -9 dan 16 ni ayirish.

$$\frac{1}{4}x=-\frac{25}{18}$$

Ikki tarafini 4 va teskari kasri \frac{1}{4} ga ko‘paytiring.

$$x=-\frac{25}{18}\times 4$$

-\frac{25}{18}\times 4 ni yagona kasrga aylantiring.

$$x=\frac{-25\times 4}{18}$$

-100 hosil qilish uchun -25 va 4 ni ko'paytirish.

$$x=\frac{-100}{18}$$

\frac{-100}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{50}{9}$$