(11/9-x):x=17/3:34/5 eching

$$( \frac { 11 } { 9 } - x ) : x = \frac { 17 } { 3 } : \frac { 34 } { 5 }$$

x uchun yechish

$$x=\frac{2}{3}\approx 0,666666667$$

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.

$$\frac{11}{9}-x=x\times \frac{\frac{17}{3}}{\frac{34}{5}}$$

\frac{17}{3} ni \frac{34}{5} ga bo'lish \frac{17}{3} ga k'paytirish \frac{34}{5} ga qaytarish.

$$\frac{11}{9}-x=x\times \frac{17}{3}\times \frac{5}{34}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{17}{3} ni \frac{5}{34} ga ko‘paytiring.

$$\frac{11}{9}-x=x\times \frac{17\times 5}{3\times 34}$$

\frac{17\times 5}{3\times 34} kasridagi ko‘paytirishlarni bajaring.

$$\frac{11}{9}-x=x\times \frac{85}{102}$$

\frac{85}{102} ulushini 17 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{9}-x=x\times \frac{5}{6}$$

Ikkala tarafdan x\times \frac{5}{6} ni ayirish.

$$\frac{11}{9}-x-x\times \frac{5}{6}=0$$

-\frac{11}{6}x ni olish uchun -x va -x\times \frac{5}{6} ni birlashtirish.

$$\frac{11}{9}-\frac{11}{6}x=0$$

Ikkala tarafdan \frac{11}{9} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-\frac{11}{6}x=-\frac{11}{9}$$

Ikki tarafini -\frac{6}{11} va teskari kasri -\frac{11}{6} ga ko‘paytiring.

$$x=-\frac{11}{9}\left(-\frac{6}{11}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{9} ni -\frac{6}{11} ga ko‘paytiring.

$$x=\frac{-11\left(-6\right)}{9\times 11}$$

\frac{-11\left(-6\right)}{9\times 11} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{66}{99}$$

\frac{66}{99} ulushini 33 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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