x-7=3/4(x+5) eching

$$x - 7 = \frac { 3 } { 4 } ( x + 5 )$$

x uchun yechish

$$x=43$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4} ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-7=\frac{3}{4}x+\frac{3}{4}\times 5$$

\frac{3}{4}\times 5 ni yagona kasrga aylantiring.

$$x-7=\frac{3}{4}x+\frac{3\times 5}{4}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$x-7=\frac{3}{4}x+\frac{15}{4}$$

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

$$x-7-\frac{3}{4}x=\frac{15}{4}$$

\frac{1}{4}x ni olish uchun x va -\frac{3}{4}x ni birlashtirish.

$$\frac{1}{4}x-7=\frac{15}{4}$$

7 ni ikki tarafga qo’shing.

$$\frac{1}{4}x=\frac{15}{4}+7$$

7 ni \frac{28}{4} kasrga o‘giring.

$$\frac{1}{4}x=\frac{15}{4}+\frac{28}{4}$$

\frac{15}{4} va \frac{28}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{4}x=\frac{15+28}{4}$$

43 olish uchun 15 va 28'ni qo'shing.

$$\frac{1}{4}x=\frac{43}{4}$$

Ikki tarafini 4 va teskari kasri \frac{1}{4} ga ko‘paytiring.

$$x=\frac{43}{4}\times 4$$

4 va 4 ni qisqartiring.

$$x=43$$