y-2=1/2(x+1) eching

$$y - 2 = \frac { 1 } { 2 } ( x + 1 )$$

x uchun yechish

$$x=2y-5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{2} ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-2=\frac{1}{2}x+\frac{1}{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}x+\frac{1}{2}=y-2$$

Ikkala tarafdan \frac{1}{2} ni ayirish.

$$\frac{1}{2}x=y-2-\frac{1}{2}$$

-\frac{5}{2} olish uchun -2 dan \frac{1}{2} ni ayirish.

$$\frac{1}{2}x=y-\frac{5}{2}$$

Ikkala tarafini 2 ga ko‘paytiring.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-\frac{5}{2}}{\frac{1}{2}}$$

\frac{1}{2} ga bo'lish \frac{1}{2} ga ko'paytirishni bekor qiladi.

$$x=\frac{y-\frac{5}{2}}{\frac{1}{2}}$$

y-\frac{5}{2} ni \frac{1}{2} ga bo'lish y-\frac{5}{2} ga k'paytirish \frac{1}{2} ga qaytarish.

$$x=2y-5$$

y uchun yechish

$$y=\frac{x+5}{2}$$

Yechim qadamlari

\frac{1}{2} ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-2=\frac{1}{2}x+\frac{1}{2}$$

2 ni ikki tarafga qo’shing.

$$y=\frac{1}{2}x+\frac{1}{2}+2$$

\frac{5}{2} olish uchun \frac{1}{2} va 2'ni qo'shing.

$$y=\frac{1}{2}x+\frac{5}{2}$$