3/4+2/5x=9/10 eching

$$\frac { 3 } { 4 } + \frac { 2 } { 5 } x = \frac { 9 } { 10 }$$

x uchun yechish

$$x=\frac{3}{8}=0,375$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{3}{4} ni ayirish.

$$\frac{2}{5}x=\frac{9}{10}-\frac{3}{4}$$

10 va 4 ning eng kichik umumiy karralisi 20 ga teng. \frac{9}{10} va \frac{3}{4} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{5}x=\frac{18}{20}-\frac{15}{20}$$

\frac{18}{20} va \frac{15}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{5}x=\frac{18-15}{20}$$

3 olish uchun 18 dan 15 ni ayirish.

$$\frac{2}{5}x=\frac{3}{20}$$

Ikki tarafini \frac{5}{2} va teskari kasri \frac{2}{5} ga ko‘paytiring.

$$x=\frac{3}{20}\times \frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{20} ni \frac{5}{2} ga ko‘paytiring.

$$x=\frac{3\times 5}{20\times 2}$$

\frac{3\times 5}{20\times 2} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{15}{40}$$

\frac{15}{40} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{3}{8}$$