-5/3x-5/2=1/2x-7 eching

$$- \frac { 5 } { 3 } x - \frac { 5 } { 2 } = \frac { 1 } { 2 } x - 7$$

x uchun yechish

$$x = \frac{27}{13} = 2\frac{1}{13} \approx 2,076923077$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{1}{2}x ni ayirish.

$$-\frac{5}{3}x-\frac{5}{2}-\frac{1}{2}x=-7$$

-\frac{13}{6}x ni olish uchun -\frac{5}{3}x va -\frac{1}{2}x ni birlashtirish.

$$-\frac{13}{6}x-\frac{5}{2}=-7$$

\frac{5}{2} ni ikki tarafga qo’shing.

$$-\frac{13}{6}x=-7+\frac{5}{2}$$

-7 ni -\frac{14}{2} kasrga o‘giring.

$$-\frac{13}{6}x=-\frac{14}{2}+\frac{5}{2}$$

-\frac{14}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{13}{6}x=\frac{-14+5}{2}$$

-9 olish uchun -14 va 5'ni qo'shing.

$$-\frac{13}{6}x=-\frac{9}{2}$$

Ikki tarafini -\frac{6}{13} va teskari kasri -\frac{13}{6} ga ko‘paytiring.

$$x=-\frac{9}{2}\left(-\frac{6}{13}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{9}{2} ni -\frac{6}{13} ga ko‘paytiring.

$$x=\frac{-9\left(-6\right)}{2\times 13}$$

\frac{-9\left(-6\right)}{2\times 13} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{54}{26}$$

\frac{54}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{27}{13}$$