9(-4-3/2y)-2z=28 eching

$$9(-4- \frac{ 3 }{ 2 } y)-2z=28$$

y uchun yechish

$$y=\frac{-4z-128}{27}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

9 ga -4-\frac{3}{2}y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36-\frac{27}{2}y-2z=28$$

36 ni ikki tarafga qo’shing.

$$-\frac{27}{2}y-2z=28+36$$

64 olish uchun 28 va 36'ni qo'shing.

$$-\frac{27}{2}y-2z=64$$

2z ni ikki tarafga qo’shing.

$$-\frac{27}{2}y=64+2z$$

Tenglama standart shaklda.

$$-\frac{27}{2}y=2z+64$$

Tenglamaning ikki tarafini -\frac{27}{2} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{-\frac{27}{2}y}{-\frac{27}{2}}=\frac{2z+64}{-\frac{27}{2}}$$

-\frac{27}{2} ga bo'lish -\frac{27}{2} ga ko'paytirishni bekor qiladi.

$$y=\frac{2z+64}{-\frac{27}{2}}$$

64+2z ni -\frac{27}{2} ga bo'lish 64+2z ga k'paytirish -\frac{27}{2} ga qaytarish.

$$y=\frac{-4z-128}{27}$$

z uchun yechish

$$z=-\frac{27y}{4}-32$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

9 ga -4-\frac{3}{2}y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-36-\frac{27}{2}y-2z=28$$

36 ni ikki tarafga qo’shing.

$$-\frac{27}{2}y-2z=28+36$$

64 olish uchun 28 va 36'ni qo'shing.

$$-\frac{27}{2}y-2z=64$$

\frac{27}{2}y ni ikki tarafga qo’shing.

$$-2z=64+\frac{27}{2}y$$

Tenglama standart shaklda.

$$-2z=\frac{27y}{2}+64$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2z}{-2}=\frac{\frac{27y}{2}+64}{-2}$$

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

$$z=\frac{\frac{27y}{2}+64}{-2}$$

64+\frac{27y}{2} ni -2 ga bo'lish.

$$z=-\frac{27y}{4}-32$$