VE=M(1-dt) eching

$$V E = M ( 1 - d t )$$

E uchun yechish

$$\left\{\begin{matrix}E=-\frac{M\left(dt-1\right)}{V}\text{, }&V\neq 0\\E\in \mathrm{R}\text{, }&\left(M=0\text{ and }V=0\right)\text{ or }\left(d=\frac{1}{t}\text{ and }t\neq 0\text{ and }V=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

M ga 1-dt ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$VE=M-Mdt$$

Ikki tarafini V ga bo‘ling.

$$\frac{VE}{V}=\frac{M-Mdt}{V}$$

V ga bo'lish V ga ko'paytirishni bekor qiladi.

$$E=\frac{M-Mdt}{V}$$

M-Mdt ni V ga bo'lish.

$$E=\frac{M\left(1-dt\right)}{V}$$

M uchun yechish

$$\left\{\begin{matrix}M=-\frac{EV}{dt-1}\text{, }&t=0\text{ or }d\neq \frac{1}{t}\\M\in \mathrm{R}\text{, }&\left(E=0\text{ or }V=0\right)\text{ and }d=\frac{1}{t}\text{ and }t\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

M ga 1-dt ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$VE=M-Mdt$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$M-Mdt=VE$$

M'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-dt\right)M=VE$$

Tenglama standart shaklda.

$$\left(1-dt\right)M=EV$$

Ikki tarafini 1-dt ga bo‘ling.

$$\frac{\left(1-dt\right)M}{1-dt}=\frac{EV}{1-dt}$$

1-dt ga bo'lish 1-dt ga ko'paytirishni bekor qiladi.

$$M=\frac{EV}{1-dt}$$