7x+6/4x=5/4-6/x eching

$$\frac { 7 x + 6 } { 4 x } = \frac { 5 } { 4 } - \frac { 6 } { x }$$

x uchun yechish

$$x=-15$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4x ga, 4x,4,x ning eng kichik karralisiga ko‘paytiring.

$$7x+6=4x\times \frac{5}{4}-4\times 6$$

5 hosil qilish uchun 4 va \frac{5}{4} ni ko'paytirish.

$$7x+6=5x-4\times 6$$

-24 hosil qilish uchun -4 va 6 ni ko'paytirish.

$$7x+6=5x-24$$

Ikkala tarafdan 5x ni ayirish.

$$7x+6-5x=-24$$

2x ni olish uchun 7x va -5x ni birlashtirish.

$$2x+6=-24$$

Ikkala tarafdan 6 ni ayirish.

$$2x=-24-6$$

-30 olish uchun -24 dan 6 ni ayirish.

$$2x=-30$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{-30}{2}$$

-15 ni olish uchun -30 ni 2 ga bo‘ling.

$$x=-15$$