32/5:x=1/5:5/2 eching

$$\frac { 32 } { 5 } : x = \frac { 1 } { 5 } : \frac { 5 } { 2 }$$

x uchun yechish

$$x=80$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$\frac{32}{5}=x\times \frac{\frac{1}{5}}{\frac{5}{2}}$$

\frac{1}{5} ni \frac{5}{2} ga bo'lish \frac{1}{5} ga k'paytirish \frac{5}{2} ga qaytarish.

$$\frac{32}{5}=x\times \frac{1}{5}\times \frac{2}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni \frac{2}{5} ga ko‘paytiring.

$$\frac{32}{5}=x\times \frac{1\times 2}{5\times 5}$$

\frac{1\times 2}{5\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{32}{5}=x\times \frac{2}{25}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x\times \frac{2}{25}=\frac{32}{5}$$

Ikki tarafini \frac{25}{2} va teskari kasri \frac{2}{25} ga ko‘paytiring.

$$x=\frac{32}{5}\times \frac{25}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{32}{5} ni \frac{25}{2} ga ko‘paytiring.

$$x=\frac{32\times 25}{5\times 2}$$

\frac{32\times 25}{5\times 2} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{800}{10}$$

80 ni olish uchun 800 ni 10 ga bo‘ling.

$$x=80$$