\(\frac{x}{2}=\frac{8}{y}=\frac{-12}{z}=2\)

1. \(\frac{x}{2}=\frac{2}{1}\)Mà \(\frac{2}{1}=\frac{4}{2}\)\(\Rightarrow x=4\)

Ta có :\(\frac{4}{2}=\frac{8}{y}\)\(\Leftrightarrow\frac{8}{4}=\frac{8}{y}\)\(\Rightarrow y=4\)

Ta lại có : \(\frac{-12}{z}=\frac{2}{1}\)\(\Leftrightarrow\frac{-12}{z}=\frac{-12}{-6}\)\(\Rightarrow z=-6\)

K/l : Vậy \(x=4;y=4;z=-6\)

\(\frac{12}{26}=\frac{-x}{4}=\frac{21}{y}=\frac{z}{180}\)

\(\Rightarrow\frac{12}{26}=\frac{-x}{4}\Leftrightarrow-x.26=48\Leftrightarrow x=\frac{-24}{13}\)

\(\Rightarrow\frac{12}{26}=\frac{21}{y}\Leftrightarrow12.y=546\Leftrightarrow y=\frac{91}{2}\)

\(\Rightarrow\frac{12}{26}=\frac{z}{180}\Leftrightarrow z.26=2160\Leftrightarrow z=\frac{1080}{13}\)

Vậy : ...

chúc bạn học tốt

x=o,46153846153

y=-0,11538461538

z=-182,000000007

x=-13/16

y=273

z=55/5/13

-6 /12 = x /8 = -7 /y = z /-18

=>-6*8=12*x

-48=12*x

-48:12=x

=>x=-4

thayx:-6 /12=-4/8=-7/y=z/-18

=>-4*y=8*7

-4*y=56

y=56:(-4)

y=14

=>y=14

thayy:-6/12=-4/8=-7/14=z/18

-4*18=8*z

-72=8*z

-72:8=z

-9=z

=>z=-9

vayx=-4;y=14;z=-9

\(\Leftrightarrow-12< x< 2y< 3z\)

\(\Leftrightarrow\left(x,y,z\right)\in\left\{\left(-11;-5;-3\right);\left(-10;-4;-2\right);\left(-9;-4;-2\right);\left(-8;-3;-1\right)\right\}\)

\(-\frac{1}{2}<\frac{x}{24}<\frac{y}{12}<\frac{z}{8}\Leftrightarrow-\frac{24}{48}<\frac{2x}{48}<\frac{4y}{48}<\frac{6z}{48}\)

Có thể tìm được rất nhiều các số nguyên x;y;z thỏa mãn

minh cug co y nhu bn dinh tuan viet

\(\frac{x}{2}=10\Leftrightarrow x=20\)

\(x+\frac{y}{3}=20+\frac{y}{3}=10\)\(\Leftrightarrow\frac{y}{3}=-10\Rightarrow y=-30\)

\(x+y+\frac{z}{5}=10\Leftrightarrow20+-30+\frac{z}{5}=10\)

\(\frac{z}{5}=20\Leftrightarrow z=100\)

Vậy \(x=20;y=-30;z=100\)

2. Để P là một số nguyên thì \(12⋮3n-1\)

\(3n-1\inƯ\left(12\right)\)

\(3n-1\in\left\{-12;-6;-4;-3;-2;-1;1;2;3;4;6;12\right\}\)

\(3n\in\left\{-11;-5;-3;-2;-1;0;2;3;4;5;7;13\right\}\)

\(\frac{12}{-6}=\frac{x}{5}=\frac{-y}{3}=\frac{z}{-17}=\frac{-t}{-9}\)

\(-6x=12\cdot5=60\Rightarrow x=-10\)

\(-y\cdot\left(-6\right)=12\cdot3=36\Rightarrow y=6\)

\(-6z=-17\cdot12=>z=34\)

\(-t\cdot\left(-6\right)=-9\cdot12=>t=-18\)