x uchun yechish
x=\frac{1-7y}{5}
y uchun yechish
y=\frac{1-5x}{7}
Grafik
Viktorina
Linear Equation
2x+3y=7x+10y-1
Baham ko'rish
Klipbordga nusxa olish
2x+3y-7x=10y-1
Ikkala tarafdan 7x ni ayirish.
-5x+3y=10y-1
-5x ni olish uchun 2x va -7x ni birlashtirish.
-5x=10y-1-3y
Ikkala tarafdan 3y ni ayirish.
-5x=7y-1
7y ni olish uchun 10y va -3y ni birlashtirish.
\frac{-5x}{-5}=\frac{7y-1}{-5}
Ikki tarafini -5 ga bo‘ling.
x=\frac{7y-1}{-5}
-5 ga bo'lish -5 ga ko'paytirishni bekor qiladi.
x=\frac{1-7y}{5}
7y-1 ni -5 ga bo'lish.
2x+3y-10y=7x-1
Ikkala tarafdan 10y ni ayirish.
2x-7y=7x-1
-7y ni olish uchun 3y va -10y ni birlashtirish.
-7y=7x-1-2x
Ikkala tarafdan 2x ni ayirish.
-7y=5x-1
5x ni olish uchun 7x va -2x ni birlashtirish.
\frac{-7y}{-7}=\frac{5x-1}{-7}
Ikki tarafini -7 ga bo‘ling.
y=\frac{5x-1}{-7}
-7 ga bo'lish -7 ga ko'paytirishni bekor qiladi.
y=\frac{1-5x}{7}
5x-1 ni -7 ga bo'lish.
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}