Cho 3 so x, y, z thoa man cac he thuc: \(\left(z-1\right)x-y=1\) va \(x+zy=2\)

Chmr: \(\left(2x-y\right)\left(z^2-z+1\right)=7\) va tim tat ca cac so nguyen x, y, z thoa man cac he thuc tren.

Cho ba số x;y;z thoa man: x-1/2=y-2/3=z-3/4

va 2x+3y-z=50

tìm x;y;z

tim cac so m,n,p thoa man : m+n+p+8=2canm-1 + 4cann-2 +6canp-3

tim cac so x,y,z thoa man :canx+cany-1 +canz-2 = 1/2(x+y+z)

tim cac so x,y,z thoa man :x+y+z+4=2canx-2 +4cany-3+6canz-5

cho x;y;z;t la 4 so khac 0 va thoa man cac dieu kien sau:

^{y^2=xz, z^2=yt, vay^3+z^3+t^3kac 0chung minh rang:} 

(y^3+z^3+x^3)/y^3+z^3+t^3=x/t

biet x;y;z thoa man: (x-1)/2 = (y-2)/3 = (z-3)/4  va x-2y+3z = -10

khi do x+y+z = ?

Biet x;y;z thoa man x-1/2=y-2/3=x-3/4 va x-2y+3x=-10. Khi do x+y+z =?

a, x/5=y/3 và 5x-3y=8

b, x/3=y/4 ; y/5 = z/7 va 2x+ 3y-z=124

c, 3x=2y ; 7y=5z va x-y+z=32

đ, 2x/3=3y/4=4z/5 và x+y+z=49

e, 2x=3y=5z va x+y-z=95

f, x-1/2=y-2/3=z-3/4 va 2x+3y-z=50

cho cac so x,y,z khac 0 va thoa man \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0\)      Chung minh rang  x²(y+z)+y²(z+x ) +z²(x+z)+3xyz

ai nnha nhat minh tik dung luon

cho x,y,z thoa man x/2=2y/3=3z/4 va x-y=15. khi do x-y-z la