6+13left(x-1right)=5+10(y-1) eching

$$6+13 \left( x-1 \right) = 5+10(y-1)$$

x uchun yechish

$$x=\frac{10y+2}{13}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

13 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6+13x-13=5+10\left(y-1\right)$$

-7 olish uchun 6 dan 13 ni ayirish.

$$-7+13x=5+10\left(y-1\right)$$

10 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-7+13x=5+10y-10$$

-5 olish uchun 5 dan 10 ni ayirish.

$$-7+13x=-5+10y$$

7 ni ikki tarafga qo’shing.

$$13x=-5+10y+7$$

2 olish uchun -5 va 7'ni qo'shing.

$$13x=2+10y$$

Tenglama standart shaklda.

$$13x=10y+2$$

Ikki tarafini 13 ga bo‘ling.

$$\frac{13x}{13}=\frac{10y+2}{13}$$

13 ga bo'lish 13 ga ko'paytirishni bekor qiladi.

$$x=\frac{10y+2}{13}$$

y uchun yechish

$$y=\frac{13x}{10}-\frac{1}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

13 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6+13x-13=5+10\left(y-1\right)$$

-7 olish uchun 6 dan 13 ni ayirish.

$$-7+13x=5+10\left(y-1\right)$$

10 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-7+13x=5+10y-10$$

-5 olish uchun 5 dan 10 ni ayirish.

$$-7+13x=-5+10y$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-5+10y=-7+13x$$

5 ni ikki tarafga qo’shing.

$$10y=-7+13x+5$$

-2 olish uchun -7 va 5'ni qo'shing.

$$10y=-2+13x$$

Tenglama standart shaklda.

$$10y=13x-2$$

Ikki tarafini 10 ga bo‘ling.

$$\frac{10y}{10}=\frac{13x-2}{10}$$

10 ga bo'lish 10 ga ko'paytirishni bekor qiladi.

$$y=\frac{13x-2}{10}$$

-2+13x ni 10 ga bo'lish.

$$y=\frac{13x}{10}-\frac{1}{5}$$