tim y x biet x,y nhan xy,x =xy,xy
tim y va x biet x,y * xy,x =xy,xy va 1,01 * yx =7x,y5
Tim so nguyen x,y biet:
a, xy = 12 va x + y =7
b, xy = -20 va x-y = -9
c, xy = 24 va x + y = -11
a) x = 3; y = 4 hoặc ngược lại
b, x = -4 ; y = 5
c, x = - 3 y = -8 hoặc ngược lại
A ) x = 3 thì y = 4
x = 4 thì y = 3
B ) x = -4 thì y = 5
x = 5 thì y = -4
C ) x = -3 thì y = -8
x = -8 thì y = -3
tim xy biet x+y=x/y=3*(x-y)
TIM X , Y BIET
a)X+XY+Y=9
b)XY-2X-3Y=5
tim x,y biet xy+y+x=30
xy + y + x = 30
x . 10 + y + y + x = 30
x . 11 + y . 2 = 30
x = 2
y = 4
thử lại :
24 + 4 + 2 = 30
đúng !
tim x,y biet (x+y)/2014=xy/2015=(x-y)/2016
Ta có: \(\frac{x+y}{2014}\)=\(\frac{x-y}{2016}\)
=>\(2016x+2016y=2014x-2014y\)
=> \(2x=-4030y\)
=>\(x=-2015y\)
\(Thay\)\(x=-2015\)vào \(\frac{x+y}{2014}=\frac{xy}{2015}\)ta được
\(\frac{-2015+y}{2014}=\frac{-2015y}{2015}\)
\(\frac{-2014y}{2014}=\frac{-2015y^2}{2015}\)
\(-y=-y^2\)
=>\(y-y^2=0\)
\(y\).(\(1-y\))\(=0\)
\(=>\orbr{\begin{cases}y=0\\1-y=0\end{cases}}=>\orbr{\begin{cases}y=0\\y=1\end{cases}}\)
TH1 :\(y=0=>x.y=-2015.0=0\)
TH2 :\(y=1=>x.y=-2015.1=-2015\)
Ta có: \(\frac{x+y}{2014}\ne\frac{x-y}{2016}\)
\(\Leftrightarrow2016x+2016y=2014x-2014y\)
\(\Leftrightarrow2x=-4030y\)
\(\Leftrightarrow x=-2015y\)
Thay \(x=-2015y\)vào \(\frac{x+y}{2014}=\frac{xy}{2015}\)ta được:
\(\Leftrightarrow\frac{-2015+y}{2014}=\frac{-2015y}{2015}\)
\(\Leftrightarrow\frac{-2014y}{2014}=\frac{-2015y^2}{2015}\)
\(\Leftrightarrow-y=-y^2\)
\(\Leftrightarrow y-y^2=0\)
\(\Leftrightarrow y\left(1-y\right)=0\)
\(\Rightarrow\orbr{\begin{cases}y=0\\1-y=0\end{cases}}\Rightarrow\orbr{\begin{cases}y=0\\y=1\end{cases}}\)
Trường hợp \(y=0\):
\(y=0\Rightarrow x.y=-2015.0=0\)
Trường hợp \(y=1\):
\(y=1\Rightarrow x.y=-2015.1=-2015\)
tim x y biet x+y+xy+1=0
x+y+xy+1=0 => y+x(y+1)+1=0 => (y+1)+x(y+1)=0 => (x+1)(y+1)=0 => x=-1 thì y bất kì còn y = -1 thì x bất kì
tim x,y thuoc Z biet xy=x-y
x+y=xy suy ra x+y-xy = 0
suy ra (x-xy)+y -1 = -1
suy ra x(1-y)-(1-y)=-1
suy ra (1-y)(x-1)=-1
suy ra (1-y) va (x-1) thuoc uoc kua -1
suy ra 1-y = 1 va x-1=-1
hoac 1-y=-1 va x-1 =1
suy ra y=0 va x bag 0
hoac y =2 va x=2
vay co 2 cap x,y thoa man la(0;0) va (2;2)
x+y=xy suy ra x+y-xy = 0
suy ra (x-xy)+y -1 = -1
suy ra x(1-y)-(1-y)=-1
suy ra (1-y)(x-1)=-1
suy ra (1-y) va (x-1) thuoc uoc kua -1
suy ra 1-y = 1 va x-1=-1
hoac 1-y=-1 va x-1 =1
suy ra y=0 va x bag 0
hoac y =2 va x=2
vay co 2 cap x,y thoa man la(0;0) va (2;2)
x+y=xy suy ra x+y-xy = 0
suy ra (x-xy)+y -1 = -1
suy ra x(1-y)-(1-y)=-1
suy ra (1-y)(x-1)=-1
suy ra (1-y) va (x-1) thuoc uoc kua -1
suy ra 1-y = 1 va x-1=-1
hoac 1-y=-1 va x-1 =1
suy ra y=0 va x bag 0
hoac y =2 va x=2
vay co 2 cap x,y thoa man la(0;0) va (2;2)
tim x y biet x+y+xy+1=0
\(x+y+x.y+1=0\)
\(x.1+x.y+y+1\) \(=0\)
\(x.\left(1+y\right)+\left(y+1\right)\) \(=0\)
\(\left(1+y\right).\left(x+1\right)=0\)
\(\Rightarrow1+y=0\) \(\Rightarrow\) \(y=-1\)
\(\Rightarrow\) \(x+1=0\) \(\Rightarrow\) \(x=-1\)