x uchun yechish
x = \frac{53}{7} = 7\frac{4}{7} \approx 7,571428571
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(3-7x\right)-6\left(7-3x\right)=30-10\left(x+1\right)
Tenglamaning ikkala tarafini 30 ga, 10,5,3 ning eng kichik karralisiga ko‘paytiring.
9-21x-6\left(7-3x\right)=30-10\left(x+1\right)
3 ga 3-7x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
9-21x-42+18x=30-10\left(x+1\right)
-6 ga 7-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-33-21x+18x=30-10\left(x+1\right)
-33 olish uchun 9 dan 42 ni ayirish.
-33-3x=30-10\left(x+1\right)
-3x ni olish uchun -21x va 18x ni birlashtirish.
-33-3x=30-10x-10
-10 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-33-3x=20-10x
20 olish uchun 30 dan 10 ni ayirish.
-33-3x+10x=20
10x ni ikki tarafga qo’shing.
-33+7x=20
7x ni olish uchun -3x va 10x ni birlashtirish.
7x=20+33
33 ni ikki tarafga qo’shing.
7x=53
53 olish uchun 20 va 33'ni qo'shing.
x=\frac{53}{7}
Ikki tarafini 7 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}