y=2/7(tw+m) eching

$$y = \frac { 2 } { 7 } ( t w + m )$$

t uchun yechish (complex solution)

$$\left\{\begin{matrix}t=-\frac{2m-7y}{2w}\text{, }&w\neq 0\\t\in \mathrm{C}\text{, }&y=\frac{2m}{7}\text{ and }w=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{7} ga tw+m ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Ikkala tarafdan \frac{2}{7}m ni ayirish.

$$\frac{2}{7}tw=y-\frac{2}{7}m$$

Tenglama standart shaklda.

$$\frac{2w}{7}t=-\frac{2m}{7}+y$$

Ikki tarafini \frac{2}{7}w ga bo‘ling.

$$\frac{7\times \frac{2w}{7}t}{2w}=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

\frac{2}{7}w ga bo'lish \frac{2}{7}w ga ko'paytirishni bekor qiladi.

$$t=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

y-\frac{2m}{7} ni \frac{2}{7}w ga bo'lish.

$$t=\frac{7y-2m}{2w}$$

m uchun yechish

$$m=-tw+\frac{7y}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{7} ga tw+m ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Ikkala tarafdan \frac{2}{7}tw ni ayirish.

$$\frac{2}{7}m=y-\frac{2}{7}tw$$

Tenglama standart shaklda.

$$\frac{2}{7}m=-\frac{2tw}{7}+y$$

Tenglamaning ikki tarafini \frac{2}{7} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{2}{7}m}{\frac{2}{7}}=\frac{-\frac{2tw}{7}+y}{\frac{2}{7}}$$

\frac{2}{7} ga bo'lish \frac{2}{7} ga ko'paytirishni bekor qiladi.

$$m=\frac{-\frac{2tw}{7}+y}{\frac{2}{7}}$$

y-\frac{2tw}{7} ni \frac{2}{7} ga bo'lish y-\frac{2tw}{7} ga k'paytirish \frac{2}{7} ga qaytarish.

$$m=-tw+\frac{7y}{2}$$

t uchun yechish

$$\left\{\begin{matrix}t=-\frac{2m-7y}{2w}\text{, }&w\neq 0\\t\in \mathrm{R}\text{, }&y=\frac{2m}{7}\text{ and }w=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{7} ga tw+m ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Ikkala tarafdan \frac{2}{7}m ni ayirish.

$$\frac{2}{7}tw=y-\frac{2}{7}m$$

Tenglama standart shaklda.

$$\frac{2w}{7}t=-\frac{2m}{7}+y$$

Ikki tarafini \frac{2}{7}w ga bo‘ling.

$$\frac{7\times \frac{2w}{7}t}{2w}=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

\frac{2}{7}w ga bo'lish \frac{2}{7}w ga ko'paytirishni bekor qiladi.

$$t=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

y-\frac{2m}{7} ni \frac{2}{7}w ga bo'lish.

$$t=\frac{7y-2m}{2w}$$