2/3x+4=1/4 eching

$$\frac { 2 } { 3 } x + 4 = \frac { 1 } { 4 }$$

x uchun yechish

$$x = -\frac{45}{8} = -5\frac{5}{8} = -5,625$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 4 ni ayirish.

$$\frac{2}{3}x=\frac{1}{4}-4$$

4 ni \frac{16}{4} kasrga o‘giring.

$$\frac{2}{3}x=\frac{1}{4}-\frac{16}{4}$$

\frac{1}{4} va \frac{16}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2}{3}x=\frac{1-16}{4}$$

-15 olish uchun 1 dan 16 ni ayirish.

$$\frac{2}{3}x=-\frac{15}{4}$$

Ikki tarafini \frac{3}{2} va teskari kasri \frac{2}{3} ga ko‘paytiring.

$$x=-\frac{15}{4}\times \frac{3}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{15}{4} ni \frac{3}{2} ga ko‘paytiring.

$$x=\frac{-15\times 3}{4\times 2}$$

\frac{-15\times 3}{4\times 2} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-45}{8}$$

\frac{-45}{8} kasri manfiy belgini olib tashlash bilan -\frac{45}{8} sifatida qayta yozilishi mumkin.

$$x=-\frac{45}{8}$$