5/x-1+1/4-2=2 eching

$$\frac { 5 } { x - 1 } + \frac { 1 } { 4 - 2 } = 2$$

x uchun yechish

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x-1 ga ko'paytirish.

$$5+\frac{1}{2}x-\frac{1}{2}=2\left(x-1\right)$$

\frac{9}{2} olish uchun 5 dan \frac{1}{2} ni ayirish.

$$\frac{9}{2}+\frac{1}{2}x=2\left(x-1\right)$$

2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Ikkala tarafdan 2x ni ayirish.

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

-\frac{3}{2}x ni olish uchun \frac{1}{2}x va -2x ni birlashtirish.

$$\frac{9}{2}-\frac{3}{2}x=-2$$

Ikkala tarafdan \frac{9}{2} ni ayirish.

$$-\frac{3}{2}x=-2-\frac{9}{2}$$

-\frac{13}{2} olish uchun -2 dan \frac{9}{2} ni ayirish.

$$-\frac{3}{2}x=-\frac{13}{2}$$

Ikki tarafini -\frac{2}{3} va teskari kasri -\frac{3}{2} ga ko‘paytiring.

$$x=-\frac{13}{2}\left(-\frac{2}{3}\right)$$

\frac{13}{3} hosil qilish uchun -\frac{13}{2} va -\frac{2}{3} ni ko'paytirish.

$$x=\frac{13}{3}$$