w uchun yechish
w=\frac{yz}{1-x}
z\neq 0\text{ and }x\neq 1
x uchun yechish
\left\{\begin{matrix}x=\frac{w-yz}{w}\text{, }&y\neq 0\text{ and }z\neq 0\text{ and }w\neq 0\\x\neq 1\text{, }&w=0\text{ and }y=0\text{ and }z\neq 0\end{matrix}\right,
Baham ko'rish
Klipbordga nusxa olish
\left(x-1\right)w-\left(-zxy\right)-yz\left(x-1\right)=0
Tenglamaning ikkala tarafini z\left(x-1\right) ga, z,1-x ning eng kichik karralisiga ko‘paytiring.
xw-w-\left(-zxy\right)-yz\left(x-1\right)=0
x-1 ga w ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xw-w+zxy-yz\left(x-1\right)=0
-zxy ning teskarisi zxy ga teng.
xw-w+zxy-yzx+yz=0
-yz ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xw-w+yz=0
0 ni olish uchun zxy va -yzx ni birlashtirish.
xw-w=-yz
Ikkala tarafdan yz ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
wx-w=-yz
Shartlarni qayta saralash.
\left(x-1\right)w=-yz
w'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(x-1\right)w}{x-1}=-\frac{yz}{x-1}
Ikki tarafini x-1 ga bo‘ling.
w=-\frac{yz}{x-1}
x-1 ga bo'lish x-1 ga ko'paytirishni bekor qiladi.
\left(x-1\right)w-\left(-zxy\right)-yz\left(x-1\right)=0
x qiymati 1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini z\left(x-1\right) ga, z,1-x ning eng kichik karralisiga ko‘paytiring.
xw-w-\left(-zxy\right)-yz\left(x-1\right)=0
x-1 ga w ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xw-w+zxy-yz\left(x-1\right)=0
-zxy ning teskarisi zxy ga teng.
xw-w+zxy-yzx+yz=0
-yz ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xw-w+yz=0
0 ni olish uchun zxy va -yzx ni birlashtirish.
xw+yz=w
w ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.
xw=w-yz
Ikkala tarafdan yz ni ayirish.
wx=w-yz
Tenglama standart shaklda.
\frac{wx}{w}=\frac{w-yz}{w}
Ikki tarafini w ga bo‘ling.
x=\frac{w-yz}{w}
w ga bo'lish w ga ko'paytirishni bekor qiladi.
x=\frac{w-yz}{w}\text{, }x\neq 1
x qiymati 1 teng bo‘lmaydi.
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