gt-delta/4(5t-1)=5t+5/8 eching

$$g t - \frac { \delta } { 4 } ( 5 t - 1 ) = 5 t + \frac { 5 } { 8 }$$

g uchun yechish

$$\left\{\begin{matrix}g=\frac{5\delta }{4}-\frac{\delta }{4t}+5+\frac{5}{8t}\text{, }&t\neq 0\\g\in \mathrm{R}\text{, }&\delta =\frac{5}{2}\text{ and }t=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 8 ga, 4,8 ning eng kichik karralisiga ko‘paytiring.

$$8gt-2\delta \left(5t-1\right)=40t+5$$

2\delta \left(5t-1\right) ni ikki tarafga qo’shing.

$$8gt=40t+5+2\delta \left(5t-1\right)$$

2\delta ga 5t-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8gt=40t+5+10\delta t-2\delta$$

Tenglama standart shaklda.

$$8tg=10t\delta +40t-2\delta +5$$

Ikki tarafini 8t ga bo‘ling.

$$\frac{8tg}{8t}=\frac{10t\delta +40t-2\delta +5}{8t}$$

8t ga bo'lish 8t ga ko'paytirishni bekor qiladi.

$$g=\frac{10t\delta +40t-2\delta +5}{8t}$$

40t+5+10\delta t-2\delta ni 8t ga bo'lish.

$$g=\frac{5\delta }{4}+\frac{-\frac{\delta }{4}+\frac{5}{8}}{t}+5$$

t uchun yechish

$$\left\{\begin{matrix}t=-\frac{2\delta -5}{2\left(4g-5\delta -20\right)}\text{, }&g\neq \frac{5\delta }{4}+5\\t\in \mathrm{R}\text{, }&\delta =\frac{5}{2}\text{ and }g=\frac{65}{8}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 8 ga, 4,8 ning eng kichik karralisiga ko‘paytiring.

$$8gt-2\delta \left(5t-1\right)=40t+5$$

Ikkala tarafdan 40t ni ayirish.

$$8gt-2\delta \left(5t-1\right)-40t=5$$

-2\delta ga 5t-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8gt-10\delta t+2\delta -40t=5$$

Ikkala tarafdan 2\delta ni ayirish.

$$8gt-10\delta t-40t=5-2\delta$$

t'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(8g-10\delta -40\right)t=5-2\delta$$

Ikki tarafini 8g-10\delta -40 ga bo‘ling.

$$\frac{\left(8g-10\delta -40\right)t}{8g-10\delta -40}=\frac{5-2\delta }{8g-10\delta -40}$$

8g-10\delta -40 ga bo'lish 8g-10\delta -40 ga ko'paytirishni bekor qiladi.

$$t=\frac{5-2\delta }{8g-10\delta -40}$$

5-2\delta ni 8g-10\delta -40 ga bo'lish.

$$t=\frac{5-2\delta }{2\left(4g-5\delta -20\right)}$$