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

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

x uchun yechish

$$x = -\frac{1}{13} = -0,07692307692307693$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

-7 olish uchun 6 dan 13 ni ayirish.

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

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

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

-8 olish uchun 5 dan 13 ni ayirish.

$$-7+13x=-8+13y$$

7 ni ikki tarafga qo’shing.

$$13x=-8+13y+7$$

-1 olish uchun -8 va 7'ni qo'shing.

$$13x=-1+13y$$

Tenglama standart shaklda.

$$13x=13y-1$$

Ikki tarafini 13 ga bo‘ling.

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

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

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

-1+13y ni 13 ga bo'lish.

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

y uchun yechish

$$y = \frac{1}{13} = 0,07692307692307693$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

-7 olish uchun 6 dan 13 ni ayirish.

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

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

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

-8 olish uchun 5 dan 13 ni ayirish.

$$-7+13x=-8+13y$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-8+13y=-7+13x$$

8 ni ikki tarafga qo’shing.

$$13y=-7+13x+8$$

1 olish uchun -7 va 8'ni qo'shing.

$$13y=1+13x$$

Tenglama standart shaklda.

$$13y=13x+1$$

Ikki tarafini 13 ga bo‘ling.

$$\frac{13y}{13}=\frac{13x+1}{13}$$

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

$$y=\frac{13x+1}{13}$$

1+13x ni 13 ga bo'lish.

$$y=x+\frac{1}{13}$$