(509)(u)=f(9(u)) eching

$$( 509 ) ( u ) = f ( 9 ( u ) )$$

f uchun yechish

$$\left\{\begin{matrix}\\f=\frac{509}{9}\approx 56,555555556\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&u=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$f\times 9u=509u$$

Tenglama standart shaklda.

$$9uf=509u$$

Ikki tarafini 9u ga bo‘ling.

$$\frac{9uf}{9u}=\frac{509u}{9u}$$

9u ga bo'lish 9u ga ko'paytirishni bekor qiladi.

$$f=\frac{509u}{9u}$$

509u ni 9u ga bo'lish.

$$f=\frac{509}{9}$$

u uchun yechish

$$\left\{\begin{matrix}\\u=0\text{, }&\text{unconditionally}\\u\in \mathrm{R}\text{, }&f=\frac{509}{9}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan f\times 9u ni ayirish.

$$509u-f\times 9u=0$$

-9 hosil qilish uchun -1 va 9 ni ko'paytirish.

$$509u-9fu=0$$

u'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(509-9f\right)u=0$$

0 ni 509-9f ga bo'lish.

$$u=0$$