62/3/x-8=-42*5/7-3 eching

$$\frac{ 6 \frac{ 2 }{ 3 } }{ x } -8 = -42 \times \frac{ 5 }{ 7 } -3$$

x uchun yechish

$$x=-\frac{4}{15}\approx -0,266666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 7x ga, x,7 ning eng kichik karralisiga ko‘paytiring.

$$7\times \frac{6\times 3+2}{3}+7x\left(-8\right)=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$7\times \frac{18+2}{3}+7x\left(-8\right)=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

20 olish uchun 18 va 2'ni qo'shing.

$$7\times \frac{20}{3}+7x\left(-8\right)=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

7\times \frac{20}{3} ni yagona kasrga aylantiring.

$$\frac{7\times 20}{3}+7x\left(-8\right)=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

140 hosil qilish uchun 7 va 20 ni ko'paytirish.

$$\frac{140}{3}+7x\left(-8\right)=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

-56 hosil qilish uchun 7 va -8 ni ko'paytirish.

$$\frac{140}{3}-56x=-42\times \frac{5}{7}\times 7x+7x\left(-3\right)$$

-42\times \frac{5}{7} ni yagona kasrga aylantiring.

$$\frac{140}{3}-56x=\frac{-42\times 5}{7}\times 7x+7x\left(-3\right)$$

-210 hosil qilish uchun -42 va 5 ni ko'paytirish.

$$\frac{140}{3}-56x=\frac{-210}{7}\times 7x+7x\left(-3\right)$$

-30 ni olish uchun -210 ni 7 ga bo‘ling.

$$\frac{140}{3}-56x=-30\times 7x+7x\left(-3\right)$$

-210 hosil qilish uchun -30 va 7 ni ko'paytirish.

$$\frac{140}{3}-56x=-210x+7x\left(-3\right)$$

-21 hosil qilish uchun 7 va -3 ni ko'paytirish.

$$\frac{140}{3}-56x=-210x-21x$$

-231x ni olish uchun -210x va -21x ni birlashtirish.

$$\frac{140}{3}-56x=-231x$$

231x ni ikki tarafga qo’shing.

$$\frac{140}{3}-56x+231x=0$$

175x ni olish uchun -56x va 231x ni birlashtirish.

$$\frac{140}{3}+175x=0$$

Ikkala tarafdan \frac{140}{3} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$175x=-\frac{140}{3}$$

Ikki tarafini 175 ga bo‘ling.

$$x=\frac{-\frac{140}{3}}{175}$$

\frac{-\frac{140}{3}}{175} ni yagona kasrga aylantiring.

$$x=\frac{-140}{3\times 175}$$

525 hosil qilish uchun 3 va 175 ni ko'paytirish.

$$x=\frac{-140}{525}$$

\frac{-140}{525} ulushini 35 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{4}{15}$$