-5/2=3/4x-4/3 eching

$$- \frac { 5 } { 2 } = \frac { 3 } { 4 } x - \frac { 4 } { 3 }$$

x uchun yechish

$$x = -\frac{14}{9} = -1\frac{5}{9} \approx -1,555555556$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{3}{4}x-\frac{4}{3}=-\frac{5}{2}$$

\frac{4}{3} ni ikki tarafga qo’shing.

$$\frac{3}{4}x=-\frac{5}{2}+\frac{4}{3}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{5}{2} va \frac{4}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{4}x=-\frac{15}{6}+\frac{8}{6}$$

-\frac{15}{6} va \frac{8}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{4}x=\frac{-15+8}{6}$$

-7 olish uchun -15 va 8'ni qo'shing.

$$\frac{3}{4}x=-\frac{7}{6}$$

Ikki tarafini \frac{4}{3} va teskari kasri \frac{3}{4} ga ko‘paytiring.

$$x=-\frac{7}{6}\times \frac{4}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{7}{6} ni \frac{4}{3} ga ko‘paytiring.

$$x=\frac{-7\times 4}{6\times 3}$$

\frac{-7\times 4}{6\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-28}{18}$$

\frac{-28}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{14}{9}$$