x uchun yechish
x=6
Grafik
Baham ko'rish
Klipbordga nusxa olish
5\times 3+5\left(2x-7\right)\times \frac{2}{5}=5\left(2x-7\right)
x qiymati \frac{7}{2} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 5\left(2x-7\right) ga, 2x-7,5 ning eng kichik karralisiga ko‘paytiring.
15+5\left(2x-7\right)\times \frac{2}{5}=5\left(2x-7\right)
15 hosil qilish uchun 5 va 3 ni ko'paytirish.
15+2\left(2x-7\right)=5\left(2x-7\right)
2 hosil qilish uchun 5 va \frac{2}{5} ni ko'paytirish.
15+4x-14=5\left(2x-7\right)
2 ga 2x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
1+4x=5\left(2x-7\right)
1 olish uchun 15 dan 14 ni ayirish.
1+4x=10x-35
5 ga 2x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
1+4x-10x=-35
Ikkala tarafdan 10x ni ayirish.
1-6x=-35
-6x ni olish uchun 4x va -10x ni birlashtirish.
-6x=-35-1
Ikkala tarafdan 1 ni ayirish.
-6x=-36
-36 olish uchun -35 dan 1 ni ayirish.
x=\frac{-36}{-6}
Ikki tarafini -6 ga bo‘ling.
x=6
6 ni olish uchun -36 ni -6 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}