x uchun yechish
x=5
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{4x+24-6x}{15x+39}=\frac{14}{114}
Ikki tarafini 114 ga bo‘ling.
\frac{4x+24-6x}{15x+39}=\frac{7}{57}
\frac{14}{114} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
19\left(4x+24-6x\right)=7\left(5x+13\right)
x qiymati -\frac{13}{5} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 57\left(5x+13\right) ga, 15x+39,57 ning eng kichik karralisiga ko‘paytiring.
19\left(-2x+24\right)=7\left(5x+13\right)
-2x ni olish uchun 4x va -6x ni birlashtirish.
-38x+456=7\left(5x+13\right)
19 ga -2x+24 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-38x+456=35x+91
7 ga 5x+13 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-38x+456-35x=91
Ikkala tarafdan 35x ni ayirish.
-73x+456=91
-73x ni olish uchun -38x va -35x ni birlashtirish.
-73x=91-456
Ikkala tarafdan 456 ni ayirish.
-73x=-365
-365 olish uchun 91 dan 456 ni ayirish.
x=\frac{-365}{-73}
Ikki tarafini -73 ga bo‘ling.
x=5
5 ni olish uchun -365 ni -73 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}