A uchun yechish
A=-\frac{Bx-12x+3B-20}{x+1}
x\neq -3\text{ and }x\neq -1
B uchun yechish
B=-\frac{Ax-12x+A-20}{x+3}
x\neq -3\text{ and }x\neq -1
Grafik
Baham ko'rish
Klipbordga nusxa olish
12x+20=\left(x+1\right)A+\left(x+3\right)B
Tenglamaning ikkala tarafini \left(x+1\right)\left(x+3\right) ga, \left(x+3\right)\left(x+1\right),x+3,x+1 ning eng kichik karralisiga ko‘paytiring.
12x+20=xA+A+\left(x+3\right)B
x+1 ga A ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+20=xA+A+xB+3B
x+3 ga B ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xA+A+xB+3B=12x+20
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
xA+A+3B=12x+20-xB
Ikkala tarafdan xB ni ayirish.
xA+A=12x+20-xB-3B
Ikkala tarafdan 3B ni ayirish.
\left(x+1\right)A=12x+20-xB-3B
A'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(x+1\right)A=20-3B+12x-Bx
Tenglama standart shaklda.
\frac{\left(x+1\right)A}{x+1}=\frac{20-3B+12x-Bx}{x+1}
Ikki tarafini x+1 ga bo‘ling.
A=\frac{20-3B+12x-Bx}{x+1}
x+1 ga bo'lish x+1 ga ko'paytirishni bekor qiladi.
12x+20=\left(x+1\right)A+\left(x+3\right)B
Tenglamaning ikkala tarafini \left(x+1\right)\left(x+3\right) ga, \left(x+3\right)\left(x+1\right),x+3,x+1 ning eng kichik karralisiga ko‘paytiring.
12x+20=xA+A+\left(x+3\right)B
x+1 ga A ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+20=xA+A+xB+3B
x+3 ga B ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
xA+A+xB+3B=12x+20
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
A+xB+3B=12x+20-xA
Ikkala tarafdan xA ni ayirish.
xB+3B=12x+20-xA-A
Ikkala tarafdan A ni ayirish.
\left(x+3\right)B=12x+20-xA-A
B'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(x+3\right)B=20-A+12x-Ax
Tenglama standart shaklda.
\frac{\left(x+3\right)B}{x+3}=\frac{20-A+12x-Ax}{x+3}
Ikki tarafini x+3 ga bo‘ling.
B=\frac{20-A+12x-Ax}{x+3}
x+3 ga bo'lish x+3 ga ko'paytirishni bekor qiladi.
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