y-5=4/3(x-2) eching

$$y - 5 = 4 / 3 ( x - 2 )$$

x uchun yechish

$$x=\frac{3y-7}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{4}{3} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-5=\frac{4}{3}x-\frac{8}{3}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{4}{3}x-\frac{8}{3}=y-5$$

\frac{8}{3} ni ikki tarafga qo’shing.

$$\frac{4}{3}x=y-5+\frac{8}{3}$$

-\frac{7}{3} olish uchun -5 va \frac{8}{3}'ni qo'shing.

$$\frac{4}{3}x=y-\frac{7}{3}$$

Tenglamaning ikki tarafini \frac{4}{3} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{y-\frac{7}{3}}{\frac{4}{3}}$$

\frac{4}{3} ga bo'lish \frac{4}{3} ga ko'paytirishni bekor qiladi.

$$x=\frac{y-\frac{7}{3}}{\frac{4}{3}}$$

y-\frac{7}{3} ni \frac{4}{3} ga bo'lish y-\frac{7}{3} ga k'paytirish \frac{4}{3} ga qaytarish.

$$x=\frac{3y-7}{4}$$

y uchun yechish

$$y=\frac{4x+7}{3}$$

Yechim qadamlari

\frac{4}{3} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-5=\frac{4}{3}x-\frac{8}{3}$$

5 ni ikki tarafga qo’shing.

$$y=\frac{4}{3}x-\frac{8}{3}+5$$

\frac{7}{3} olish uchun -\frac{8}{3} va 5'ni qo'shing.

$$y=\frac{4}{3}x+\frac{7}{3}$$