\(\frac{4}{x}\)=\(\frac{-y}{6}\)=0,5
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\(\frac{4}{x}=0,5\Rightarrow x=4:0,5=8\)
\(-\frac{y}{6}=\frac{y}{-6}=0,5\Rightarrow y=0,5.\left(-6\right)=-12\)
Xét \(\frac{4}{x}=\frac{-y}{6}\Leftrightarrow\frac{4.6}{6x}=\frac{x.\left(-y\right)}{6x}\Leftrightarrow\frac{24}{6x}=\frac{x.\left(-y\right)}{6x}\)
suy ra 24 = x.(-y) (1)
Do \(\frac{4}{x}=0,5\) nên \(\frac{4}{x}=\frac{0,5x}{x}\) => 4 = 0,5 x => x = 4 : 0,5 => x = 8 (2)
Từ (1) và (2) suy ra (-y).8 = 24 => -y = 24 : 8 => -y = 3 => y= -3
Kết luận : x = 8 ; y = -3
đổi 0.5=1/2
vì\(\frac{4}{x}\)=\(\frac{1}{2}\)nên x=\(\frac{4.2}{1}\)=8 vậy x=8
vì\(\frac{-y}{6}\)=\(\frac{1}{2}\)nên -y=\(\frac{6.1}{2}\)=3 vậy y=3
chúc bạn học tốt
a)
\(\begin{array}{l}\frac{2}{9}:x + \frac{5}{6} = 0,5\\\frac{2}{9}:x = \frac{1}{2} - \frac{5}{6}\\\frac{2}{9}:x = \frac{3}{6} - \frac{5}{6}\\\frac{2}{9}:x = \frac{{ - 2}}{6}\\x = \frac{2}{9}:\frac{{ - 2}}{6}\\x = \frac{2}{9}.\frac{{ - 6}}{2}\\x = \frac{{ - 2}}{3}\end{array}\)
Vậy \(x = \frac{{ - 2}}{3}\).
b)
\(\begin{array}{l}\frac{3}{4} - \left( {x - \frac{2}{3}} \right) = 1\frac{1}{3}\\x - \frac{2}{3} = \frac{3}{4} - 1\frac{1}{3}\\x - \frac{2}{3} = \frac{3}{4} - \frac{4}{3}\\x - \frac{2}{3} = \frac{9}{{12}} - \frac{{16}}{{12}}\\x - \frac{2}{3} = \frac{{ - 7}}{{12}}\\x = \frac{{ - 7}}{{12}} + \frac{2}{3}\\x = \frac{{ - 7}}{{12}} + \frac{8}{{12}}\\x = \frac{1}{12}\end{array}\)
Vậy\(x = \frac{1}{12}\).
c)
\(\begin{array}{l}1\frac{1}{4}:\left( {x - \frac{2}{3}} \right) = 0,75\\\frac{5}{4}:\left( {x - \frac{2}{3}} \right) = \frac{3}{4}\\x - \frac{2}{3} = \frac{5}{4}:\frac{3}{4}\\x - \frac{2}{3} = \frac{5}{4}.\frac{4}{3}\\x - \frac{2}{3} = \frac{5}{3}\\x = \frac{5}{3} + \frac{2}{3}\\x = \frac{7}{3}\end{array}\)
Vậy \(x = \frac{7}{3}\).
d)
\(\begin{array}{l}\left( { - \frac{5}{6}x + \frac{5}{4}} \right):\frac{3}{2} = \frac{4}{3}\\ - \frac{5}{6}x + \frac{5}{4} = \frac{4}{3}.\frac{3}{2}\\ - \frac{5}{6}x + \frac{5}{4} = 2\\ - \frac{5}{6}x = 2 - \frac{5}{4}\\ - \frac{5}{6}x = \frac{8}{4} - \frac{5}{4}\\ - \frac{5}{6}x = \frac{3}{4}\\x = \frac{3}{4}:\left( { - \frac{5}{6}} \right)\\x = \frac{3}{4}.\frac{{ - 6}}{5}\\x = \frac{{ - 9}}{{10}}\end{array}\)
Vậy \(x = \frac{{ - 9}}{{10}}\).
x=8
y=-3
x = 8
y = -3