x uchun yechish
x=8
Grafik
Viktorina
Linear Equation
5xshash muammolar:
\frac{ x+6 }{ 4 } + \frac{ x-3 }{ 5 } = \frac{ 5x-4 }{ 8 }
Baham ko'rish
Klipbordga nusxa olish
10\left(x+6\right)+8\left(x-3\right)=5\left(5x-4\right)
Tenglamaning ikkala tarafini 40 ga, 4,5,8 ning eng kichik karralisiga ko‘paytiring.
10x+60+8\left(x-3\right)=5\left(5x-4\right)
10 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x+60+8x-24=5\left(5x-4\right)
8 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
18x+60-24=5\left(5x-4\right)
18x ni olish uchun 10x va 8x ni birlashtirish.
18x+36=5\left(5x-4\right)
36 olish uchun 60 dan 24 ni ayirish.
18x+36=25x-20
5 ga 5x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
18x+36-25x=-20
Ikkala tarafdan 25x ni ayirish.
-7x+36=-20
-7x ni olish uchun 18x va -25x ni birlashtirish.
-7x=-20-36
Ikkala tarafdan 36 ni ayirish.
-7x=-56
-56 olish uchun -20 dan 36 ni ayirish.
x=\frac{-56}{-7}
Ikki tarafini -7 ga bo‘ling.
x=8
8 ni olish uchun -56 ni -7 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}