x uchun yechish
x=-\frac{5-2y}{y-2}
y\neq 2
y uchun yechish
y=-\frac{5-2x}{x-2}
x\neq 2
Grafik
Baham ko'rish
Klipbordga nusxa olish
y\left(x-2\right)=-1+\left(x-2\right)\times 2
x qiymati 2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x-2 ga ko'paytirish.
yx-2y=-1+\left(x-2\right)\times 2
y ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
yx-2y=-1+2x-4
x-2 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
yx-2y=-5+2x
-5 olish uchun -1 dan 4 ni ayirish.
yx-2y-2x=-5
Ikkala tarafdan 2x ni ayirish.
yx-2x=-5+2y
2y ni ikki tarafga qo’shing.
\left(y-2\right)x=-5+2y
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(y-2\right)x=2y-5
Tenglama standart shaklda.
\frac{\left(y-2\right)x}{y-2}=\frac{2y-5}{y-2}
Ikki tarafini y-2 ga bo‘ling.
x=\frac{2y-5}{y-2}
y-2 ga bo'lish y-2 ga ko'paytirishni bekor qiladi.
x=\frac{2y-5}{y-2}\text{, }x\neq 2
x qiymati 2 teng bo‘lmaydi.
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}