Cho 3x=4y và 3y=5z
a, tính P= \(\dfrac{2x+3y+z}{x-y+z}\)
=> \(\dfrac{x}{4}=\dfrac{y}{3}\) và \(\dfrac{y}{5}=\dfrac{z}{3}\)
hay \(\dfrac{x}{20}=\dfrac{y}{15}\) và \(\dfrac{y}{15}=\dfrac{z}{9}\)
=> \(\dfrac{x}{20}=\dfrac{y}{15}=\dfrac{z}{9}\)
= \(\dfrac{2x+3y+z}{2.20-3.15+z}\)= \(\dfrac{2x+3y+z}{40-45+z}\)
Tìm x,y,z biết
a) 3x=2y; 4x=2z& x+y+z=27
b)\(\dfrac{x}{2}\) =\(\dfrac{y}{3}\)=\(\dfrac{z}{4}\)& 2x2+3y2-5z2= -405
c) 3x=2y; 4x=2z & x+y+z=27
d) \(\dfrac{6x-3z}{5}\) =\(\dfrac{4y-6x}{7}\)=\(\dfrac{3z-4y}{9}\)& 2x+3y-5z= -21
Tìm x,y,z, bt
a, \(\dfrac{x}{4}=\dfrac{y}{3}=\dfrac{z}{9}\&x-3y+4z=62\)
b, \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}\&2x+3y-5z=-21\)
c,\(\dfrac{x}{y}=\dfrac{3}{4},\dfrac{y}{z}=\dfrac{5}{7}\&2x+3y-z=186\)
d, \(2x=3y=5z\&\left|x+y-z\right|=95\)
1, x : y : z = 2 : 3 : 4 và x + y + z = 18
2, \(\dfrac{x}{2}=\dfrac{y}{-3}=\dfrac{z}{4}\) và 4x - 3y - 2z = 81
3, \(\dfrac{x}{3}=\dfrac{y}{2};\) 4y = 3z và x + y +z = 46
4, 5x = 3y; \(\dfrac{y}{z}=\dfrac{3}{2}\) và 2x + 3y -4z =34
Cho \(\dfrac{x}{3}=\dfrac{y}{4}\) và \(\dfrac{y}{5}=\dfrac{z}{6}\) , Tính
M=\(\dfrac{2x+3y+4z}{3x+4y+5z}\)
Tìm x,y,z trong dãy tỉ số bằng nhau
1)\(\dfrac{3x}{8}=\dfrac{3y}{64}=\dfrac{3z}{216}\)và \(2x^2+2y^2.z^2=1\)
2) \(\dfrac{2x+1}{5}=\dfrac{4y-5}{9}=\dfrac{2x+4y-4}{7x}\)
3) \(\dfrac{x^3+y^3}{6}=\dfrac{x^3-2y^3}{4}\)và x6 . y6 =14
4) \(\dfrac{x+4}{6}=\dfrac{3y-1}{8}=\dfrac{3y-x-5}{x}\)
5) \(\dfrac{3}{x-1}=\dfrac{4}{y-2}=\dfrac{5}{z-3}\)và x.y.z=192
6)\(\dfrac{x-y}{3}=\dfrac{x+y}{13}=\dfrac{x.y}{200}\)
7)\(\dfrac{x+1}{2}=\dfrac{y-1}{3}=\dfrac{z+2}{4}=\dfrac{x+y+z+2}{2x+5}\)
8) \(\dfrac{15}{x-9}=\dfrac{20}{y-12}=\dfrac{40}{z-24}\)và x.y = 1200
9)\(\dfrac{40}{x-30}=\dfrac{20}{y-15}=\dfrac{28}{z-21}\) và x.y.z = 22400
10)15x = -10y =6z và x.y.z = -30000
11) Cho\(\dfrac{x+1}{3}=\dfrac{y-2}{5}=\dfrac{2z+14}{9}\)và x+z=y
12) Cho \(\dfrac{x}{3}=\dfrac{y}{4}\)và \(\dfrac{y}{5}=\dfrac{z}{6}\).Tính M=\(\dfrac{2x+3y+4z}{3x+4y+5z}\)
a Tìm x,y biết :\(\dfrac{4+x}{7+y}=\dfrac{4}{7}\) và x+y = 22
b) Cho \(\dfrac{x}{3}=\dfrac{y}{4}\)và \(\dfrac{y}{5}=\dfrac{z}{6}\). Tính M =\(\dfrac{2x+3y+4z}{3x+4y+5z}\)
a) Tìm x,y biết : \(\dfrac{4+x}{7+y}=\dfrac{4}{7}\)và x+y=22
b) Cho \(\dfrac{x}{3}=\dfrac{y}{4}v\text{à}\dfrac{y}{5}=\dfrac{z}{6}\)
Tính M =\(\dfrac{2x+3y+4z}{3x+4y+5z}\)
cho x,y,z khac 0 va\(\dfrac{x+3y-z}{z}\)= \(\dfrac{y+3z-x}{x}\)=\(\dfrac{z+3x-y}{y}\)
Tính P = \(\left(\dfrac{x}{y}+3\right)\)\(\left(\dfrac{y}{z}+3\right)\)\(\left(\dfrac{z}{x}+3\right)\)
a,\(\dfrac{1+2y}{18}=\dfrac{1+4y}{24}=\dfrac{1+6y}{+6x}\)
b, \(\dfrac{1+3y}{12}=\dfrac{1+5y}{5x}=\dfrac{1+7y}{4x}\)
c,\(\dfrac{x}{z+y+1}=\dfrac{y}{x+z+1}=\dfrac{z}{x+y-2}=x+y+z\left(x,y,zkhac0\right)\)
d, \(\dfrac{3x}{8}=\dfrac{3y}{64}=\dfrac{3z}{216}va2x^2+2y^2-z^2=1\)
