\(-\frac{x}{9}=\frac{4}{9}\)

\(\Rightarrow-x=4\)

\(\Rightarrow x=-4\)

\(-\frac{x}{9}=\frac{4}{x}\) <=> x² = -36 (VN)

Vậy ko có x thỏa đề bài

\(\frac{-x}{9}=\frac{4}{x}\)

\(\Rightarrow-x.x=4.9\)

\(\Rightarrow\left(-x\right)^2=36\)

\(\Rightarrow\left(-x\right)^2=\left(\pm6\right)^2\)

\(\Rightarrow x\in\left\{6;-6\right\}\)

HỌC TỐT

\(\frac{12x-15y}{7}=\frac{20z-12x}{9}=\frac{15y-20z}{11}=\frac{12x-15y+20z-12x+15y-20z}{7+9+11}=0\)

\(12x-15y=0\Rightarrow4x=5y\Rightarrow\frac{x}{5}=\frac{y}{4}\)

\(20z-12x=0\Rightarrow5z=3x\Rightarrow\frac{z}{3}=\frac{x}{5}\)

\(15y-20z=0\Rightarrow3y=4z\Rightarrow\frac{y}{4}=\frac{z}{3}\)

\(\Rightarrow\frac{x}{5}=\frac{y}{4}=\frac{z}{3}=\frac{x+y+z}{5+4+3}=\frac{48}{12}=4\)

ta có;x=4x5=20

y=4x4=16

z=4x3=12

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\(TC:\dfrac{x}{y}=\dfrac{9}{7}\Rightarrow\dfrac{x}{9}=\dfrac{y}{7}\)

\(\dfrac{y}{z}=\dfrac{7}{3}\Rightarrow\dfrac{y}{7}=\dfrac{z}{3}\)

\(KĐ:\) \(\dfrac{x}{9}=\dfrac{y}{7}=\dfrac{z}{3}=\dfrac{x-y+z}{9-7+3}=\dfrac{-15}{5}=-3\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-3\cdot9=-27\\y=-3\cdot7=-21\\z=-3\cdot3=-9\end{matrix}\right.\)

\(\dfrac{x}{y}=\dfrac{9}{7}\Rightarrow\dfrac{x}{9}=\dfrac{y}{7}\)

\(\dfrac{y}{z}=\dfrac{7}{3}\Rightarrow\dfrac{y}{7}=\dfrac{z}{3}\)

\(\Rightarrow\dfrac{x}{9}=\dfrac{y}{7}=\dfrac{z}{3}\)

AD TC DTSBN ta có 

\(\dfrac{x}{9}=\dfrac{y}{7}=\dfrac{z}{3}=\dfrac{x-y+z}{9-7+3}=\dfrac{-15}{5}=-3\)

\(\Rightarrow\dfrac{x}{9}=-3\Rightarrow x=-27\)

\(\dfrac{y}{7}=-3\Rightarrow y=-21\)

\(\dfrac{z}{3}=-3\Rightarrow z=-9\)

Ta có: \(\dfrac{x}{y}=\dfrac{9}{7}\)

\(\Leftrightarrow\dfrac{x}{9}=\dfrac{y}{7}\)(1)

Ta có: \(\dfrac{y}{z}=\dfrac{7}{3}\)

\(\Leftrightarrow\dfrac{y}{7}=\dfrac{z}{3}\)(2)

Từ (1) và (2) suy ra \(\dfrac{x}{9}=\dfrac{y}{7}=\dfrac{z}{3}\)

mà x-y+z=-15

nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{x}{9}=\dfrac{y}{7}=\dfrac{z}{3}=\dfrac{x-y+z}{9-7+3}=\dfrac{-15}{5}=-3\)

Do đó:

\(\left\{{}\begin{matrix}\dfrac{x}{9}=-3\\\dfrac{y}{7}=-3\\\dfrac{z}{3}=-3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-27\\y=-21\\z=-9\end{matrix}\right.\)

Vậy: (x,y,z)=(-27;-21;-9)

tên này đốt giấy làm tốn dien tich dien dan olm tru diem di

Câu a) sai đề nhé bạn.

b) Ta có:

\(\frac{x}{y}=\frac{7}{20};\frac{y}{z}=\frac{5}{8}\) và \(2x+5y-2z=100\)

\(\Rightarrow\frac{x}{7}=\frac{y}{20};\frac{y}{5}=\frac{z}{8}\Leftrightarrow\frac{x}{7}=\frac{y}{20}=\frac{z}{32}\) và \(2x+5y-2z=100\)

Áp dụng tính chất của dãy tỉ số bằng nhau:

\(\frac{x}{7}=\frac{y}{20}=\frac{z}{32}=\frac{2x+5y-2z}{2.7+5.20-2.32}=\frac{100}{50}=2\)

\(\hept{\begin{cases}\frac{x}{7}=2\Rightarrow x=2.7=14\\\frac{y}{20}=2\Rightarrow y=2.20=40\\\frac{z}{32}=2\Rightarrow z=2.32=64\end{cases}}\)

Vậy \(x=14;y=40;z=64\)