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\(\frac{1}{2}a=2b\Rightarrow a=4b\Rightarrow kb=\frac{9}{8}a=\frac{9}{8}.4b=\frac{9}{2}b\Rightarrow k=\frac{9}{2}\)
Ta có: \(\frac{1}{2}a=2b\Rightarrow a=4b\)
\(\frac{9}{8}a=kb\)
\(\Rightarrow\frac{9}{8}.4.b=kb\)
\(\Rightarrow\frac{36}{8}b=kb\)
\(\Rightarrow k=\frac{36}{8}\)
Vậy \(k=\frac{36}{8}\)
1/2 của a=2b
=>a/2=2b=>a=4b
=>\(\frac{9}{8}.a=\frac{9}{8}.4b=\frac{36}{8}.b=kb=>k=\frac{36}{8}.b:b=\frac{36}{8}=\frac{9}{2}=4,5\)
vậy k=4,5
tick nha
\(\frac{1}{2}a=2b\Leftrightarrow a=4b\)
\(\frac{9}{8}a=\frac{9}{8}.4b=\frac{9}{2}b=kb\Leftrightarrow k=\frac{9}{2}\)
vì 1/2 của a bằng 2b. suy ra a=4b
mà 9/8=kb suy ra k=4*9/8=9/2
a) \(\frac{a-1}{2}=\frac{b+2}{3}=\frac{c-3}{4}=k\)
\(\Rightarrow\hept{\begin{cases}a=2k+1\\b=3k-2\\c=4k+3\end{cases}}\)thay vào \(3a-2b+c=-46\)
\(\Rightarrow3\left(2k+1\right)-2\left(3k-2\right)+4k+3=-46\)
\(\Leftrightarrow6k+3-\left(6k-4\right)+4k+3=-46\)
\(\Leftrightarrow4k+10=-46\Rightarrow4k=-56\Rightarrow k=-14\)
\(\Rightarrow\hept{\begin{cases}a=2.\left(-14\right)+1=-27\\b=3.\left(-14\right)-2=-44\\c=4.\left(-14\right)+3=-53\end{cases}}\)
Vậy \(a=-27;b=-44;c=-53\)
b) \(\frac{a}{2}=\frac{b}{5}\Rightarrow\frac{a}{6}=\frac{b}{15}\left(1\right)\)
\(\frac{b}{3}=\frac{c}{4}\Rightarrow\frac{b}{15}=\frac{c}{20}\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\frac{a}{6}=\frac{b}{15}=\frac{c}{20}\)
\(\Rightarrow\frac{a}{6}=\frac{b}{15}=\frac{c}{20}=\frac{a+b-c}{6+15-20}=\frac{12}{1}=12\)
\(\Rightarrow\hept{\begin{cases}a=12.6=72\\b=12.15=180\\c=12.20=240\end{cases}}\)
Vậy \(a=72;b=180;c=240\)
a, \(\frac{a-1}{2}=\frac{b+2}{3}=\frac{c-3}{4}\)
\(\Rightarrow\frac{3a-3}{6}=\frac{2b+4}{6}=\frac{c-3}{4}=\frac{3a-3-2b-4+c-3}{6-6+4}=\frac{\left(3a-2b+c\right)-\left(3+4+3\right)}{4}=\frac{-46-10}{4}=-14\)
=> \(\hept{\begin{cases}\frac{a-1}{2}=-14\\\frac{b+2}{3}=-14\\\frac{c-3}{4}=-14\end{cases}}\Rightarrow\hept{\begin{cases}a=-27\\b=-44\\c=-53\end{cases}}\)
b) \(\hept{\begin{cases}\frac{a}{2}=\frac{b}{5}\Rightarrow\frac{a}{6}=\frac{b}{15}\\\frac{b}{3}=\frac{c}{4}\Rightarrow\frac{b}{15}=\frac{c}{20}\end{cases}\Rightarrow\frac{a}{6}=\frac{b}{15}=\frac{c}{20}}=\frac{a+b-c}{6+15-20}=\frac{12}{1}=12\)
=> a = 72, b=180, c=240