0*3*200x+200-100/10=0*2*300*20+300-x/15 eching

$$\frac{ 0 \cdot 3 \cdot 200x+200-100 }{ 10 } = \frac{ 0 \cdot 2 \cdot 300 \cdot 20+300-x }{ 15 }$$

x uchun yechish

$$x=150$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 10,15 ning eng kichik karralisiga ko‘paytiring.

$$3\left(0\times 3\times 200x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

0 hosil qilish uchun 0 va 3 ni ko'paytirish.

$$3\left(0\times 200x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

0 hosil qilish uchun 0 va 200 ni ko'paytirish.

$$3\left(0x+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$3\left(0+200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

200 olish uchun 0 va 200'ni qo'shing.

$$3\left(200-100\right)=2\left(0\times 2\times 300\times 20+300-x\right)$$

100 olish uchun 200 dan 100 ni ayirish.

$$3\times 100=2\left(0\times 2\times 300\times 20+300-x\right)$$

300 hosil qilish uchun 3 va 100 ni ko'paytirish.

$$300=2\left(0\times 2\times 300\times 20+300-x\right)$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$300=2\left(0\times 300\times 20+300-x\right)$$

0 hosil qilish uchun 0 va 300 ni ko'paytirish.

$$300=2\left(0\times 20+300-x\right)$$

0 hosil qilish uchun 0 va 20 ni ko'paytirish.

$$300=2\left(0+300-x\right)$$

300 olish uchun 0 va 300'ni qo'shing.

$$300=2\left(300-x\right)$$

2 ga 300-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$300=600-2x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$600-2x=300$$

Ikkala tarafdan 600 ni ayirish.

$$-2x=300-600$$

-300 olish uchun 300 dan 600 ni ayirish.

$$-2x=-300$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-300}{-2}$$

150 ni olish uchun -300 ni -2 ga bo‘ling.

$$x=150$$