Question

[Ngọc Nhi]

tìm x,y,z biết

\(\hept{\begin{cases}\frac{4x}{5}=\frac{5y}{6},\frac{3y}{8}=\frac{2z}{7}\\3z+4y-10x=-238\end{cases}}\)

ai làm đc giúp mình nhanh với

Answer 1

[I don't need you]

ta có: \(\frac{4x}{5}=\frac{5y}{6}\Rightarrow24x=25y\Rightarrow\frac{x}{25}=\frac{y}{24}\Rightarrow\frac{x}{50}=\frac{y}{48}\)

\(\frac{3y}{8}=\frac{2z}{7}\Rightarrow21y=16z\Rightarrow\frac{y}{16}=\frac{z}{21}\Rightarrow\frac{y}{48}=\frac{z}{63}\)

\(\Rightarrow\frac{x}{50}=\frac{y}{48}=\frac{z}{63}=\frac{10x}{500}=\frac{4y}{192}=\frac{3z}{189}\)

ADTCDTSBN

có:\(\frac{3z}{189}=\frac{4y}{192}=\frac{10x}{500}=\frac{3z+4y-10x}{189+192-500}=\frac{-238}{-119}=2\)

=> x/50 = 2 => x = 100

y/48 = 2 => y = 96

z/63 = 2 => z = 126

KL:...