1/q=1/33-1/93 eching

$$\frac { 1 } { q } = \frac { 1 } { 33 } - \frac { 1 } { 93 }$$

q uchun yechish

$$q = \frac{1023}{20} = 51\frac{3}{20} = 51,15$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

q qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 1023q ga, q,33,93 ning eng kichik karralisiga ko‘paytiring.

$$1023=1023q\times \frac{1}{33}+1023q\left(-\frac{1}{93}\right)$$

\frac{1023}{33} hosil qilish uchun 1023 va \frac{1}{33} ni ko'paytirish.

$$1023=\frac{1023}{33}q+1023q\left(-\frac{1}{93}\right)$$

31 ni olish uchun 1023 ni 33 ga bo‘ling.

$$1023=31q+1023q\left(-\frac{1}{93}\right)$$

1023\left(-\frac{1}{93}\right) ni yagona kasrga aylantiring.

$$1023=31q+\frac{1023\left(-1\right)}{93}q$$

-1023 hosil qilish uchun 1023 va -1 ni ko'paytirish.

$$1023=31q+\frac{-1023}{93}q$$

-11 ni olish uchun -1023 ni 93 ga bo‘ling.

$$1023=31q-11q$$

20q ni olish uchun 31q va -11q ni birlashtirish.

$$1023=20q$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$20q=1023$$

Ikki tarafini 20 ga bo‘ling.

$$q=\frac{1023}{20}$$