2.3x-11.2/3=1.7x-9.4/-2 eching

$$\frac { 2.3 x - 11.2 } { 3 } = \frac { 1.7 x - 9.4 } { - 2 }$$

x uchun yechish

$$x = \frac{506}{97} = 5\frac{21}{97} \approx 5,216494845$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,-2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(2,3x-11,2\right)=-3\left(1,7x-9,4\right)$$

2 ga 2,3x-11,2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4,6x-22,4=-3\left(1,7x-9,4\right)$$

-3 ga 1,7x-9,4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4,6x-22,4=-5,1x+28,2$$

5,1x ni ikki tarafga qo’shing.

$$4,6x-22,4+5,1x=28,2$$

9,7x ni olish uchun 4,6x va 5,1x ni birlashtirish.

$$9,7x-22,4=28,2$$

22,4 ni ikki tarafga qo’shing.

$$9,7x=28,2+22,4$$

50,6 olish uchun 28,2 va 22,4'ni qo'shing.

$$9,7x=50,6$$

Ikki tarafini 9,7 ga bo‘ling.

$$x=\frac{50,6}{9,7}$$

\frac{50,6}{9,7} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$x=\frac{506}{97}$$