a uchun yechish
a=-\frac{y-1}{y-3}
y\neq 3
y uchun yechish
y=\frac{3a+1}{a+1}
a\neq -1
Grafik
Baham ko'rish
Klipbordga nusxa olish
-5y\left(a+1\right)+5\left(-2\right)=-15\left(a+1\right)
a qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini a+1 ga ko'paytirish.
-5ya-5y+5\left(-2\right)=-15\left(a+1\right)
-5y ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-5ya-5y-10=-15\left(a+1\right)
-10 hosil qilish uchun 5 va -2 ni ko'paytirish.
-5ya-5y-10=-15a-15
-15 ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-5ya-5y-10+15a=-15
15a ni ikki tarafga qo’shing.
-5ya-10+15a=-15+5y
5y ni ikki tarafga qo’shing.
-5ya+15a=-15+5y+10
10 ni ikki tarafga qo’shing.
-5ya+15a=-5+5y
-5 olish uchun -15 va 10'ni qo'shing.
\left(-5y+15\right)a=-5+5y
a'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(15-5y\right)a=5y-5
Tenglama standart shaklda.
\frac{\left(15-5y\right)a}{15-5y}=\frac{5y-5}{15-5y}
Ikki tarafini -5y+15 ga bo‘ling.
a=\frac{5y-5}{15-5y}
-5y+15 ga bo'lish -5y+15 ga ko'paytirishni bekor qiladi.
a=\frac{y-1}{3-y}
-5+5y ni -5y+15 ga bo'lish.
a=\frac{y-1}{3-y}\text{, }a\neq -1
a qiymati -1 teng bo‘lmaydi.
-5y\left(a+1\right)+5\left(-2\right)=-15\left(a+1\right)
Tenglamaning ikkala tarafini a+1 ga ko'paytirish.
-5ya-5y+5\left(-2\right)=-15\left(a+1\right)
-5y ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-5ya-5y-10=-15\left(a+1\right)
-10 hosil qilish uchun 5 va -2 ni ko'paytirish.
-5ya-5y-10=-15a-15
-15 ga a+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-5ya-5y=-15a-15+10
10 ni ikki tarafga qo’shing.
-5ya-5y=-15a-5
-5 olish uchun -15 va 10'ni qo'shing.
\left(-5a-5\right)y=-15a-5
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(-5a-5\right)y}{-5a-5}=\frac{-15a-5}{-5a-5}
Ikki tarafini -5a-5 ga bo‘ling.
y=\frac{-15a-5}{-5a-5}
-5a-5 ga bo'lish -5a-5 ga ko'paytirishni bekor qiladi.
y=\frac{3a+1}{a+1}
-15a-5 ni -5a-5 ga bo'lish.
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