x uchun yechish
x = \frac{15}{7} = 2\frac{1}{7} \approx 2,142857143
Grafik
Baham ko'rish
Klipbordga nusxa olish
2x-\frac{2}{3}x-\frac{2}{3}\times 3=-x+3
-\frac{2}{3} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-\frac{2}{3}x-2=-x+3
3 va 3 ni qisqartiring.
\frac{4}{3}x-2=-x+3
\frac{4}{3}x ni olish uchun 2x va -\frac{2}{3}x ni birlashtirish.
\frac{4}{3}x-2+x=3
x ni ikki tarafga qo’shing.
\frac{7}{3}x-2=3
\frac{7}{3}x ni olish uchun \frac{4}{3}x va x ni birlashtirish.
\frac{7}{3}x=3+2
2 ni ikki tarafga qo’shing.
\frac{7}{3}x=5
5 olish uchun 3 va 2'ni qo'shing.
x=5\times \frac{3}{7}
Ikki tarafini \frac{3}{7} va teskari kasri \frac{7}{3} ga ko‘paytiring.
x=\frac{5\times 3}{7}
5\times \frac{3}{7} ni yagona kasrga aylantiring.
x=\frac{15}{7}
15 hosil qilish uchun 5 va 3 ni ko'paytirish.
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}