60+90(x-1)=130+80(y-1) eching

$$60 + 90 ( x - 1 ) = 130 + 80 ( y - 1 )$$

x uchun yechish

$$x=\frac{8\left(y+1\right)}{9}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$60+90x-90=130+80\left(y-1\right)$$

-30 olish uchun 60 dan 90 ni ayirish.

$$-30+90x=130+80\left(y-1\right)$$

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

$$-30+90x=130+80y-80$$

50 olish uchun 130 dan 80 ni ayirish.

$$-30+90x=50+80y$$

30 ni ikki tarafga qo’shing.

$$90x=50+80y+30$$

80 olish uchun 50 va 30'ni qo'shing.

$$90x=80+80y$$

Tenglama standart shaklda.

$$90x=80y+80$$

Ikki tarafini 90 ga bo‘ling.

$$\frac{90x}{90}=\frac{80y+80}{90}$$

90 ga bo'lish 90 ga ko'paytirishni bekor qiladi.

$$x=\frac{80y+80}{90}$$

80+80y ni 90 ga bo'lish.

$$x=\frac{8y+8}{9}$$

y uchun yechish

$$y=\frac{9x}{8}-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$60+90x-90=130+80\left(y-1\right)$$

-30 olish uchun 60 dan 90 ni ayirish.

$$-30+90x=130+80\left(y-1\right)$$

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

$$-30+90x=130+80y-80$$

50 olish uchun 130 dan 80 ni ayirish.

$$-30+90x=50+80y$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$50+80y=-30+90x$$

Ikkala tarafdan 50 ni ayirish.

$$80y=-30+90x-50$$

-80 olish uchun -30 dan 50 ni ayirish.

$$80y=-80+90x$$

Tenglama standart shaklda.

$$80y=90x-80$$

Ikki tarafini 80 ga bo‘ling.

$$\frac{80y}{80}=\frac{90x-80}{80}$$

80 ga bo'lish 80 ga ko'paytirishni bekor qiladi.

$$y=\frac{90x-80}{80}$$

-80+90x ni 80 ga bo'lish.

$$y=\frac{9x}{8}-1$$