z uchun yechish
z\leq \frac{8}{21}
Baham ko'rish
Klipbordga nusxa olish
-4z+31-17z\geq 23
Ikkala tarafdan 17z ni ayirish.
-21z+31\geq 23
-21z ni olish uchun -4z va -17z ni birlashtirish.
-21z\geq 23-31
Ikkala tarafdan 31 ni ayirish.
-21z\geq -8
-8 olish uchun 23 dan 31 ni ayirish.
z\leq \frac{-8}{-21}
Ikki tarafini -21 ga bo‘ling. -21 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.
z\leq \frac{8}{21}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-8}{-21} kasrini \frac{8}{21} ga soddalashtirish mumkin.
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}