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Ta có:
x-y+x+z+y-x=8+10+12=30
=>2x = 30
=>x = 15
=> y = 15-8=7
z = 15-12=3
Vậy x=15;y=7;z=3
Bài 9:
Ta có: \(\dfrac{12}{-6}=\dfrac{x}{5}=\dfrac{-y}{3}=\dfrac{z}{-17}=\dfrac{-t}{-9}\)
\(\Leftrightarrow\dfrac{x}{5}=\dfrac{-y}{3}=\dfrac{-z}{17}=\dfrac{t}{9}=-2\)
\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{x}{5}=-2\\\dfrac{-y}{3}=-2\\\dfrac{-z}{17}=-2\\\dfrac{t}{9}=-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-10\\-y=-6\\-z=-34\\t=-18\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-10\\y=6\\z=34\\t=-18\end{matrix}\right.\)
Vậy: (x,y,z,t)=(-10;6;34;-18)
Bài 11:
Ta có: \(\dfrac{-7}{6}=\dfrac{x}{18}=\dfrac{-98}{y}=\dfrac{-14}{z}=\dfrac{t}{102}=\dfrac{u}{-78}\)
\(\Leftrightarrow\dfrac{x}{18}=\dfrac{-98}{y}=\dfrac{-14}{z}=\dfrac{t}{102}=\dfrac{u}{-78}=\dfrac{-7}{6}\)
Ta có: \(\dfrac{x}{18}=\dfrac{-7}{6}\)
\(\Leftrightarrow x=\dfrac{18\cdot\left(-7\right)}{6}=-21\)
Ta có: \(\dfrac{-98}{y}=\dfrac{-7}{6}\)
\(\Leftrightarrow y=\dfrac{-98\cdot6}{-7}=84\)
Ta có: \(\dfrac{-14}{z}=\dfrac{-7}{6}\)
\(\Leftrightarrow z=\dfrac{-14\cdot6}{-7}=12\)
Ta có: \(\dfrac{u}{-78}=\dfrac{-7}{6}\)
\(\Leftrightarrow u=\dfrac{-78\cdot\left(-7\right)}{6}=\dfrac{78\cdot7}{6}=91\)
Ta có: \(\dfrac{t}{102}=\dfrac{-7}{6}\)
\(\Leftrightarrow t=\dfrac{-7\cdot102}{6}=-7\cdot17=-119\)
Vậy: (x,y,z,t,u)=(-21;84;12;-119;91)
x + y = 7/12 => x = 7/12 - y
y + z = -19/24 => z = -19/24 - y
Mà z + x = 1/8 => 7/12 - y - 19/24 - y = 1/8
=> 2y = 7/12 - 19/24 - 1/8 => 2y = -1/3
=> y = -1/6
Ta có:
x-y=8
y-z=10
x+z=12
=> x+y=22
vậy x = (22+8) :2 = 15
y=22-15 =7
z =12-15=-3
vậy x+y+z=15+7 +(-3) =19
x-y=8
y-z=10
x+z=12
cộng từng vế các BĐT
=>x-y+y-z+x+z=8+10+12
=>2z=30=>z=15
do đó x+z=12=>x=12-15=-3
x-y=8=>y=x-8=(-3)-8=-11
Vậy..
ta có : x-y=8
=> y=x-8
x+z=12
=> z=12-x
thay y=x-8,z=12-x vào y-z=10 ta đc:
(x-8) -( 12 -x) =10
x-8-12+x =10
2x-20=10
2x=30
x=15
thay x=15 vào x-y=8
=> 15-y=8
y=7
thay y=7 vào y-z=10
=> 7-z=10
z=-3
Vậy x=15,y=7,z=-3
p/s : mk lm ko bk có đúng ko, bn k nha !~
Ta có \(x-y=8;y-z=10;x+z=12\)
\(\Leftrightarrow x-y+y-z+x+z=30\)
\(\Leftrightarrow\left(x+x\right)+\left(-y+y\right)+\left(-z+z\right)=30\)
\(\Leftrightarrow2x=30\Rightarrow x=15\)
\(x-y=15-y=8\Rightarrow y=7\)
\(y-z=7-z=10\Rightarrow z=-3\)
Vậy \(x=15;y=7;z=-3\)