Cho:
\(\frac{7-3x}{5}=\frac{y+4}{3}=\frac{6x-y}{5}\). Tìm tỉ số y và x
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\(\Leftrightarrow-\frac{3x-7}{5}=\frac{y+4}{3}\)
\(\Rightarrow-\frac{y+4}{3}-\frac{3x-7}{5}=0\)
\(\Rightarrow-\frac{5y+9x-1}{15}=0\)
\(\Rightarrow5y+9x-1=0\)
\(\Rightarrow\frac{y+4}{3}=-\frac{y-6x}{5}\)
\(\Rightarrow\frac{y+4}{3}-\left(-\frac{y-6x}{5}\right)=0\)
\(\Rightarrow\frac{2\left(4y-9x+10\right)}{15}=0\)
\(\Rightarrow2\left(4y-9x+10\right)=10\)
\(\Rightarrow4y-9x+10=0\)
=>\(y=-1\); \(x=\frac{2}{3}\)
Câu a:
0,4 : x = x : 0,9
x^2 = 0,4 x 0,9
x^2 = 0,36
x^2 = (0,6)^2
x = - 0,6 hoặc x = 0,6
Vậy x ∈ {-0,6; 0,6}
Câu b:
13\(\frac13\) : 1\(\frac13\) = 26 : (2x - 1)
\(\frac{40}{13}\) : \(\frac43\) = 26 :(2x - 1)
\(\frac{40}{13}\) x \(\frac34\) = 26 :(2x - 1)
\(\frac{30}{13}\) = 26 : (2x - 1)
26 : \(\frac{30}{13}\) = 2x - 1
26 x \(\frac{13}{30}\) = 2x - 1
169/15 = 2x - 1
2x = 169/15 + 1
2x = 184/15
x = 184/15 : 2
x = 184/15 x 1/2
x = 92/15
Vậy x = 92/15
có ai giải cho cậu rùi còn j nữa !olm.vn/hoi-dap/question/351185.html
1, ta co \(\frac{x}{5}=\frac{y}{6}=\frac{x}{20}=\frac{y}{24}\)
\(\frac{y}{8}=\frac{z}{7}=\frac{y}{24}=\frac{z}{21}\)
=>\(\frac{x}{20}=\frac{y}{24}=\frac{z}{21}=\frac{x+y-z}{20+24-21}=\frac{69}{23}=3\)
=>\(x=3\cdot20=60\)
\(y=3\cdot24=72\)
\(z=3\cdot21=63\)
3. ta co \(\frac{x}{15}=\frac{y}{7}=\frac{z}{3}=\frac{t}{1}=\frac{x+y-z+t}{15-7+3-1}=\frac{10}{10}=1\)
=> \(x=1\cdot15=15\)
\(y=1\cdot7=7\)
\(z=1\cdot3=3\)
\(t=1\cdot1=1\)
a) \(\frac{x}{1}=\frac{y}{3}=\frac{4z}{15}=\frac{6x+7y+8z}{1.6+3.7+15.2}=\frac{456}{57}=8\)
x=8
y=24
z=30
\(3x=y\)=> \(\frac{x}{1}=\frac{y}{3}\)
hay \(\frac{x}{4}=\frac{y}{12}\)
\(5y=4z\)=> \(\frac{y}{4}=\frac{z}{5}\)
hay \(\frac{y}{12}=\frac{z}{15}\)
suy ra: \(\frac{x}{4}=\frac{y}{12}=\frac{z}{15}\)
đến đây bạn ADTCDTSBN nhé
\(\Leftrightarrow\frac{7-3x}{5}=\frac{y+4}{3}=\frac{6x-y}{5}\)
\(\Rightarrow\frac{-3x-7}{5}=\frac{y+4}{3}\)
\(\Rightarrow\frac{-y+4}{3}-\frac{3x-7}{5}=0\)
\(\Leftrightarrow\frac{-5y+9x-1}{15}=0\)<=>5y+9x-1=0
\(\Rightarrow\frac{y+4}{3}=\frac{-y-6x}{5}\)
\(\Rightarrow\frac{y+4}{3}-\left(\frac{-y-6x}{5}\right)=0\)
\(\Leftrightarrow\frac{2\left(4y-9x+10\right)}{15}=0\)
=>2(4y-9x+10)=0
=>4y-9x+10=0
=>x=\(\frac{2}{3}\);y=-1