r uchun yechish (complex solution)
\left\{\begin{matrix}r=-\frac{-5x+t-4}{x}\text{, }&x\neq 0\text{ and }x\neq 2\text{ and }x\neq -5\\r\in \mathrm{C}\text{, }&x=0\text{ and }t=4\end{matrix}\right,
r uchun yechish
\left\{\begin{matrix}r=-\frac{-5x+t-4}{x}\text{, }&x\neq 0\text{ and }x\neq 2\text{ and }x\neq -5\\r\in \mathrm{R}\text{, }&x=0\text{ and }t=4\end{matrix}\right,
t uchun yechish
t=4+5x-rx
x\neq 2\text{ and }x\neq -5
Baham ko'rish
Klipbordga nusxa olish
\left(x+5\right)\times 2+\left(x-2\right)\times 3=rx+t
Tenglamaning ikkala tarafini \left(x-2\right)\left(x+5\right) ga, x-2,x+5,\left(x-2\right)\left(x+5\right) ning eng kichik karralisiga ko‘paytiring.
2x+10+\left(x-2\right)\times 3=rx+t
x+5 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x+10+3x-6=rx+t
x-2 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x+10-6=rx+t
5x ni olish uchun 2x va 3x ni birlashtirish.
5x+4=rx+t
4 olish uchun 10 dan 6 ni ayirish.
rx+t=5x+4
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
rx=5x+4-t
Ikkala tarafdan t ni ayirish.
xr=5x-t+4
Tenglama standart shaklda.
\frac{xr}{x}=\frac{5x-t+4}{x}
Ikki tarafini x ga bo‘ling.
r=\frac{5x-t+4}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
\left(x+5\right)\times 2+\left(x-2\right)\times 3=rx+t
Tenglamaning ikkala tarafini \left(x-2\right)\left(x+5\right) ga, x-2,x+5,\left(x-2\right)\left(x+5\right) ning eng kichik karralisiga ko‘paytiring.
2x+10+\left(x-2\right)\times 3=rx+t
x+5 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x+10+3x-6=rx+t
x-2 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x+10-6=rx+t
5x ni olish uchun 2x va 3x ni birlashtirish.
5x+4=rx+t
4 olish uchun 10 dan 6 ni ayirish.
rx+t=5x+4
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
rx=5x+4-t
Ikkala tarafdan t ni ayirish.
xr=5x-t+4
Tenglama standart shaklda.
\frac{xr}{x}=\frac{5x-t+4}{x}
Ikki tarafini x ga bo‘ling.
r=\frac{5x-t+4}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
\left(x+5\right)\times 2+\left(x-2\right)\times 3=rx+t
Tenglamaning ikkala tarafini \left(x-2\right)\left(x+5\right) ga, x-2,x+5,\left(x-2\right)\left(x+5\right) ning eng kichik karralisiga ko‘paytiring.
2x+10+\left(x-2\right)\times 3=rx+t
x+5 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x+10+3x-6=rx+t
x-2 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x+10-6=rx+t
5x ni olish uchun 2x va 3x ni birlashtirish.
5x+4=rx+t
4 olish uchun 10 dan 6 ni ayirish.
rx+t=5x+4
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
t=5x+4-rx
Ikkala tarafdan rx ni ayirish.
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