D=4/7(F+G) eching

$$D = \frac { 4 } { 7 } ( F + G )$$

F uchun yechish

$$F=\frac{7D}{4}-G$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{4}{7} ga F+G ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$D=\frac{4}{7}F+\frac{4}{7}G$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{4}{7}F+\frac{4}{7}G=D$$

Ikkala tarafdan \frac{4}{7}G ni ayirish.

$$\frac{4}{7}F=D-\frac{4}{7}G$$

Tenglama standart shaklda.

$$\frac{4}{7}F=-\frac{4G}{7}+D$$

Tenglamaning ikki tarafini \frac{4}{7} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{4}{7}F}{\frac{4}{7}}=\frac{-\frac{4G}{7}+D}{\frac{4}{7}}$$

\frac{4}{7} ga bo'lish \frac{4}{7} ga ko'paytirishni bekor qiladi.

$$F=\frac{-\frac{4G}{7}+D}{\frac{4}{7}}$$

D-\frac{4G}{7} ni \frac{4}{7} ga bo'lish D-\frac{4G}{7} ga k'paytirish \frac{4}{7} ga qaytarish.

$$F=\frac{7D}{4}-G$$

D uchun yechish

$$D=\frac{4\left(F+G\right)}{7}$$

Yechim qadamlari

\frac{4}{7} ga F+G ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$D=\frac{4}{7}F+\frac{4}{7}G$$