x uchun yechish (complex solution)
\left\{\begin{matrix}\\x=\frac{3}{2}=1,5\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=-1\end{matrix}\right,
y uchun yechish (complex solution)
\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{3}{2}\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}\\x=\frac{3}{2}=1,5\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-1\end{matrix}\right,
y uchun yechish
\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{3}{2}\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
2yx+x-5=3y-2-x
2y+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2yx+x-5+x=3y-2
x ni ikki tarafga qo’shing.
2yx+2x-5=3y-2
2x ni olish uchun x va x ni birlashtirish.
2yx+2x=3y-2+5
5 ni ikki tarafga qo’shing.
2yx+2x=3y+3
3 olish uchun -2 va 5'ni qo'shing.
\left(2y+2\right)x=3y+3
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}
Ikki tarafini 2y+2 ga bo‘ling.
x=\frac{3y+3}{2y+2}
2y+2 ga bo'lish 2y+2 ga ko'paytirishni bekor qiladi.
x=\frac{3}{2}
3+3y ni 2y+2 ga bo'lish.
2yx+x-5=3y-2-x
2y+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2yx+x-5-3y=-2-x
Ikkala tarafdan 3y ni ayirish.
2yx-5-3y=-2-x-x
Ikkala tarafdan x ni ayirish.
2yx-5-3y=-2-2x
-2x ni olish uchun -x va -x ni birlashtirish.
2yx-3y=-2-2x+5
5 ni ikki tarafga qo’shing.
2yx-3y=3-2x
3 olish uchun -2 va 5'ni qo'shing.
\left(2x-3\right)y=3-2x
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}
Ikki tarafini -3+2x ga bo‘ling.
y=\frac{3-2x}{2x-3}
-3+2x ga bo'lish -3+2x ga ko'paytirishni bekor qiladi.
y=-1
3-2x ni -3+2x ga bo'lish.
2yx+x-5=3y-2-x
2y+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2yx+x-5+x=3y-2
x ni ikki tarafga qo’shing.
2yx+2x-5=3y-2
2x ni olish uchun x va x ni birlashtirish.
2yx+2x=3y-2+5
5 ni ikki tarafga qo’shing.
2yx+2x=3y+3
3 olish uchun -2 va 5'ni qo'shing.
\left(2y+2\right)x=3y+3
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}
Ikki tarafini 2y+2 ga bo‘ling.
x=\frac{3y+3}{2y+2}
2y+2 ga bo'lish 2y+2 ga ko'paytirishni bekor qiladi.
x=\frac{3}{2}
3+3y ni 2y+2 ga bo'lish.
2yx+x-5=3y-2-x
2y+1 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2yx+x-5-3y=-2-x
Ikkala tarafdan 3y ni ayirish.
2yx-5-3y=-2-x-x
Ikkala tarafdan x ni ayirish.
2yx-5-3y=-2-2x
-2x ni olish uchun -x va -x ni birlashtirish.
2yx-3y=-2-2x+5
5 ni ikki tarafga qo’shing.
2yx-3y=3-2x
3 olish uchun -2 va 5'ni qo'shing.
\left(2x-3\right)y=3-2x
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}
Ikki tarafini -3+2x ga bo‘ling.
y=\frac{3-2x}{2x-3}
-3+2x ga bo'lish -3+2x ga ko'paytirishni bekor qiladi.
y=-1
3-2x ni -3+2x ga bo'lish.
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y = 3x + 4
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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]
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Chegaralar
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