8/2+4/1=2/frac{1{2}}+6/x eching

$$\frac{ 8 }{ 2 } + \frac{ 4 }{ 1 } = \frac{ 2 }{ \frac{ 1 }{ 2 } } + \frac{ 6 }{ x }$$

x uchun yechish

$$x = \frac{3}{2} = 1\frac{1}{2} = 1,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2x ga, 2,x ning eng kichik karralisiga ko‘paytiring.

$$x\times 8+2x\times 4=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$x\times 8+8x=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

16x ni olish uchun x\times 8 va 8x ni birlashtirish.

$$16x=2x\times \frac{2}{\frac{1}{2}}+2\times 6$$

2 ni \frac{1}{2} ga bo'lish 2 ga k'paytirish \frac{1}{2} ga qaytarish.

$$16x=2x\times 2\times 2+2\times 6$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$16x=2x\times 4+2\times 6$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$16x=8x+2\times 6$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$16x=8x+12$$

Ikkala tarafdan 8x ni ayirish.

$$16x-8x=12$$

8x ni olish uchun 16x va -8x ni birlashtirish.

$$8x=12$$

Ikki tarafini 8 ga bo‘ling.

$$x=\frac{12}{8}$$

\frac{12}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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