b uchun yechish
b=\frac{20}{7}+\frac{12}{7x}
x\neq -\frac{3}{5}\text{ and }x\neq 0
x uchun yechish
x=\frac{12}{7b-20}
b\neq \frac{20}{7}\text{ and }b\neq 0
Grafik
Viktorina
Linear Equation
5xshash muammolar:
1 - \frac { 4 - 3 x } { 4 } = \frac { 5 x + 3 } { b } - x
Baham ko'rish
Klipbordga nusxa olish
4b-b\left(4-3x\right)=4\left(5x+3\right)-x\times 4b
b qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4b ga, 4,b ning eng kichik karralisiga ko‘paytiring.
4b-\left(4b-3bx\right)=4\left(5x+3\right)-x\times 4b
b ga 4-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4b-4b+3bx=4\left(5x+3\right)-x\times 4b
4b-3bx teskarisini topish uchun har birining teskarisini toping.
3bx=4\left(5x+3\right)-x\times 4b
0 ni olish uchun 4b va -4b ni birlashtirish.
3bx=20x+12-x\times 4b
4 ga 5x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3bx=20x+12-4xb
-4 hosil qilish uchun -1 va 4 ni ko'paytirish.
3bx+4xb=20x+12
4xb ni ikki tarafga qo’shing.
7bx=20x+12
7bx ni olish uchun 3bx va 4xb ni birlashtirish.
7xb=20x+12
Tenglama standart shaklda.
\frac{7xb}{7x}=\frac{20x+12}{7x}
Ikki tarafini 7x ga bo‘ling.
b=\frac{20x+12}{7x}
7x ga bo'lish 7x ga ko'paytirishni bekor qiladi.
b=\frac{20}{7}+\frac{12}{7x}
20x+12 ni 7x ga bo'lish.
b=\frac{20}{7}+\frac{12}{7x}\text{, }b\neq 0
b qiymati 0 teng bo‘lmaydi.
4b-b\left(4-3x\right)=4\left(5x+3\right)-x\times 4b
Tenglamaning ikkala tarafini 4b ga, 4,b ning eng kichik karralisiga ko‘paytiring.
4b-\left(4b-3bx\right)=4\left(5x+3\right)-x\times 4b
b ga 4-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4b-4b+3bx=4\left(5x+3\right)-x\times 4b
4b-3bx teskarisini topish uchun har birining teskarisini toping.
3bx=4\left(5x+3\right)-x\times 4b
0 ni olish uchun 4b va -4b ni birlashtirish.
3bx=20x+12-x\times 4b
4 ga 5x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3bx=20x+12-4xb
-4 hosil qilish uchun -1 va 4 ni ko'paytirish.
3bx-20x=12-4xb
Ikkala tarafdan 20x ni ayirish.
3bx-20x+4xb=12
4xb ni ikki tarafga qo’shing.
7bx-20x=12
7bx ni olish uchun 3bx va 4xb ni birlashtirish.
\left(7b-20\right)x=12
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(7b-20\right)x}{7b-20}=\frac{12}{7b-20}
Ikki tarafini -20+7b ga bo‘ling.
x=\frac{12}{7b-20}
-20+7b ga bo'lish -20+7b ga ko'paytirishni bekor qiladi.
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