3x+5/2-2x-1/4=1 eching

$$\frac { 3 x + 5 } { 2 } - \frac { 2 x - 1 } { 4 } = 1$$

x uchun yechish

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 4 ga, 2,4 ning eng kichik karralisiga ko‘paytiring.

$$2\left(3x+5\right)-\left(2x-1\right)=4$$

2 ga 3x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+10-\left(2x-1\right)=4$$

2x-1 teskarisini topish uchun har birining teskarisini toping.

$$6x+10-2x-\left(-1\right)=4$$

-1 ning teskarisi 1 ga teng.

$$6x+10-2x+1=4$$

4x ni olish uchun 6x va -2x ni birlashtirish.

$$4x+10+1=4$$

11 olish uchun 10 va 1'ni qo'shing.

$$4x+11=4$$

Ikkala tarafdan 11 ni ayirish.

$$4x=4-11$$

-7 olish uchun 4 dan 11 ni ayirish.

$$4x=-7$$

Ikki tarafini 4 ga bo‘ling.

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

\frac{-7}{4} kasri manfiy belgini olib tashlash bilan -\frac{7}{4} sifatida qayta yozilishi mumkin.

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