x uchun yechish
x=\left(\frac{1}{3}-\frac{5}{3}i\right)y-\frac{4}{3}i
y uchun yechish
y=\left(\frac{3}{26}+\frac{15}{26}i\right)x+\left(-\frac{10}{13}+\frac{2}{13}i\right)
Baham ko'rish
Klipbordga nusxa olish
-7x-4i+y=-5i^{19}y-4x
8 daraja ko‘rsatkichini i ga hisoblang va 1 ni qiymatni oling.
-7x-4i+y=-5\left(-i\right)y-4x
19 daraja ko‘rsatkichini i ga hisoblang va -i ni qiymatni oling.
-7x-4i+y=5iy-4x
5i hosil qilish uchun -5 va -i ni ko'paytirish.
-7x-4i+y+4x=5iy
4x ni ikki tarafga qo’shing.
-3x-4i+y=5iy
-3x ni olish uchun -7x va 4x ni birlashtirish.
-3x+y=5iy+4i
4i ni ikki tarafga qo’shing.
-3x=5iy+4i-y
Ikkala tarafdan y ni ayirish.
-3x=\left(-1+5i\right)y+4i
\left(-1+5i\right)y ni olish uchun 5iy va -y ni birlashtirish.
\frac{-3x}{-3}=\frac{\left(-1+5i\right)y+4i}{-3}
Ikki tarafini -3 ga bo‘ling.
x=\frac{\left(-1+5i\right)y+4i}{-3}
-3 ga bo'lish -3 ga ko'paytirishni bekor qiladi.
x=\left(\frac{1}{3}-\frac{5}{3}i\right)y-\frac{4}{3}i
\left(-1+5i\right)y+4i ni -3 ga bo'lish.
-7x-4i+y=-5i^{19}y-4x
8 daraja ko‘rsatkichini i ga hisoblang va 1 ni qiymatni oling.
-7x-4i+y=-5\left(-i\right)y-4x
19 daraja ko‘rsatkichini i ga hisoblang va -i ni qiymatni oling.
-7x-4i+y=5iy-4x
5i hosil qilish uchun -5 va -i ni ko'paytirish.
-7x-4i+y-5iy=-4x
Ikkala tarafdan 5iy ni ayirish.
-7x-4i+\left(1-5i\right)y=-4x
\left(1-5i\right)y ni olish uchun y va -5iy ni birlashtirish.
-4i+\left(1-5i\right)y=-4x+7x
7x ni ikki tarafga qo’shing.
-4i+\left(1-5i\right)y=3x
3x ni olish uchun -4x va 7x ni birlashtirish.
\left(1-5i\right)y=3x+4i
4i ni ikki tarafga qo’shing.
\frac{\left(1-5i\right)y}{1-5i}=\frac{3x+4i}{1-5i}
Ikki tarafini 1-5i ga bo‘ling.
y=\frac{3x+4i}{1-5i}
1-5i ga bo'lish 1-5i ga ko'paytirishni bekor qiladi.
y=\left(\frac{3}{26}+\frac{15}{26}i\right)x+\left(-\frac{10}{13}+\frac{2}{13}i\right)
3x+4i ni 1-5i 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}