x uchun yechish
x = \frac{11}{2} = 5\frac{1}{2} = 5,5
Grafik
Baham ko'rish
Klipbordga nusxa olish
5\left(4-x\right)=3\left(x-3\right)-15
Tenglamaning ikkala tarafini 15 ga, 3,5 ning eng kichik karralisiga ko‘paytiring.
20-5x=3\left(x-3\right)-15
5 ga 4-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
20-5x=3x-9-15
3 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
20-5x=3x-24
-24 olish uchun -9 dan 15 ni ayirish.
20-5x-3x=-24
Ikkala tarafdan 3x ni ayirish.
20-8x=-24
-8x ni olish uchun -5x va -3x ni birlashtirish.
-8x=-24-20
Ikkala tarafdan 20 ni ayirish.
-8x=-44
-44 olish uchun -24 dan 20 ni ayirish.
x=\frac{-44}{-8}
Ikki tarafini -8 ga bo‘ling.
x=\frac{11}{2}
\frac{-44}{-8} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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}