5(x-2)+6/3x=5x/11-3(2-x) eching

$$\frac { 5 ( x - 2 ) + 6 } { 3 x } = \frac { 5 x } { 11 - 3 ( 2 - x ) }$$

x uchun yechish

$$x = \frac{20}{13} = 1\frac{7}{13} \approx 1,538461538$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -\frac{5}{3},0 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3x\left(3x+5\right) ga, 3x,11-3\left(2-x\right) ning eng kichik karralisiga ko‘paytiring.

$$\left(3x+5\right)\left(5\left(x-2\right)+6\right)=3x\times 5x$$

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

$$\left(3x+5\right)\left(5x-10+6\right)=3x\times 5x$$

-4 olish uchun -10 va 6'ni qo'shing.

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

3x+5 ga 5x-4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$15x^{2}+13x-20=3x\times 5x$$

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$15x^{2}+13x-20=3x^{2}\times 5$$

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

$$15x^{2}+13x-20=15x^{2}$$

Ikkala tarafdan 15x^{2} ni ayirish.

$$15x^{2}+13x-20-15x^{2}=0$$

0 ni olish uchun 15x^{2} va -15x^{2} ni birlashtirish.

$$13x-20=0$$

20 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$13x=20$$

Ikki tarafini 13 ga bo‘ling.

$$x=\frac{20}{13}$$