x uchun yechish
x = \frac{79}{15} = 5\frac{4}{15} \approx 5,266666667
Grafik
Viktorina
Linear Equation
\frac { 5 x - 1 } { 5 } - \frac { 1 + x } { 2 } = 3 - \frac { x - 1 } { 4 }
Baham ko'rish
Klipbordga nusxa olish
4\left(5x-1\right)-10\left(1+x\right)=60-5\left(x-1\right)
Tenglamaning ikkala tarafini 20 ga, 5,2,4 ning eng kichik karralisiga ko‘paytiring.
20x-4-10\left(1+x\right)=60-5\left(x-1\right)
4 ga 5x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
20x-4-10-10x=60-5\left(x-1\right)
-10 ga 1+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
20x-14-10x=60-5\left(x-1\right)
-14 olish uchun -4 dan 10 ni ayirish.
10x-14=60-5\left(x-1\right)
10x ni olish uchun 20x va -10x ni birlashtirish.
10x-14=60-5x+5
-5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-14=65-5x
65 olish uchun 60 va 5'ni qo'shing.
10x-14+5x=65
5x ni ikki tarafga qo’shing.
15x-14=65
15x ni olish uchun 10x va 5x ni birlashtirish.
15x=65+14
14 ni ikki tarafga qo’shing.
15x=79
79 olish uchun 65 va 14'ni qo'shing.
x=\frac{79}{15}
Ikki tarafini 15 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}