3/9-19/6:x=-4 eching

$$\frac { 3 } { 9 } - \frac { 19 } { 6 } : x = - 4$$

x uchun yechish

$$x=\frac{19}{26}\approx 0,730769231$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 9x ga, 9,x ning eng kichik karralisiga ko‘paytiring.

$$x\times 3-9\times \frac{19}{6}=-36x$$

-9\times \frac{19}{6} ni yagona kasrga aylantiring.

$$x\times 3+\frac{-9\times 19}{6}=-36x$$

-171 hosil qilish uchun -9 va 19 ni ko'paytirish.

$$x\times 3+\frac{-171}{6}=-36x$$

\frac{-171}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\times 3-\frac{57}{2}=-36x$$

36x ni ikki tarafga qo’shing.

$$x\times 3-\frac{57}{2}+36x=0$$

39x ni olish uchun x\times 3 va 36x ni birlashtirish.

$$39x-\frac{57}{2}=0$$

\frac{57}{2} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$39x=\frac{57}{2}$$

Ikki tarafini 39 ga bo‘ling.

$$x=\frac{\frac{57}{2}}{39}$$

\frac{\frac{57}{2}}{39} ni yagona kasrga aylantiring.

$$x=\frac{57}{2\times 39}$$

78 hosil qilish uchun 2 va 39 ni ko'paytirish.

$$x=\frac{57}{78}$$

\frac{57}{78} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{19}{26}$$