n/9*+4/7(1000-x)=999 eching

$$\frac { n } { 9 } \times + \frac { 4 } { 7 } ( 1000 - x ) = 999$$

n uchun yechish

$$n=\frac{62937}{4\left(1000-x\right)}$$

$$x\neq 1000$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 63 ga, 9,7 ning eng kichik karralisiga ko‘paytiring.

$$7n\times \frac{4}{7}\left(1000-x\right)=62937$$

4 hosil qilish uchun 7 va \frac{4}{7} ni ko'paytirish.

$$4n\left(1000-x\right)=62937$$

4n ga 1000-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4000n-4nx=62937$$

n'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4000-4x\right)n=62937$$

Ikki tarafini -4x+4000 ga bo‘ling.

$$\frac{\left(4000-4x\right)n}{4000-4x}=\frac{62937}{4000-4x}$$

-4x+4000 ga bo'lish -4x+4000 ga ko'paytirishni bekor qiladi.

$$n=\frac{62937}{4000-4x}$$

62937 ni -4x+4000 ga bo'lish.

$$n=\frac{62937}{4\left(1000-x\right)}$$

x uchun yechish

$$x=1000-\frac{62937}{4n}$$

$$n\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 63 ga, 9,7 ning eng kichik karralisiga ko‘paytiring.

$$7n\times \frac{4}{7}\left(1000-x\right)=62937$$

4 hosil qilish uchun 7 va \frac{4}{7} ni ko'paytirish.

$$4n\left(1000-x\right)=62937$$

4n ga 1000-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4000n-4xn=62937$$

Ikkala tarafdan 4000n ni ayirish.

$$-4xn=62937-4000n$$

Tenglama standart shaklda.

$$\left(-4n\right)x=62937-4000n$$

Ikki tarafini -4n ga bo‘ling.

$$\frac{\left(-4n\right)x}{-4n}=\frac{62937-4000n}{-4n}$$

-4n ga bo'lish -4n ga ko'paytirishni bekor qiladi.

$$x=\frac{62937-4000n}{-4n}$$

62937-4000n ni -4n ga bo'lish.

$$x=1000-\frac{62937}{4n}$$