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y x 4 + 1/2 + 1/4 + 1/8 +1/16 = 1
y x 4 + 15/16 = 1
y x 4 = 1/16
y = 1/16 : 4
y = 1/64
\(\left(y+\frac{1}{2}\right)+\left(y+\frac{1}{4}\right)+\left(y+\frac{1}{8}\right)+\left(y+\frac{1}{16}\right)=1\)
\(\Rightarrow4y+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=1\)
\(\Leftrightarrow4y+\left(\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\right)=1\)
\(\Leftrightarrow4y+\frac{15}{16}=1\)
\(\Leftrightarrow4y=\frac{1}{16}\)
\(\Leftrightarrow y=\frac{1}{64}\)
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1)\(y\times7:5+4\times8=134\)
\(\Leftrightarrow y\times7:5+32=134\)
\(\Leftrightarrow y\times7:5=102\)
\(\Leftrightarrow y\times7=510\)
\(\Leftrightarrow y=72,86\)
2) \(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{10}\)
\(=0,25:0,25-0,125:0,125+0,5:0,5-\dfrac{1}{10}\)
\(=1-1+1-\dfrac{1}{10}\)
\(=\dfrac{9}{10}\)
3 x y+7/16 = 2
3 x y = 2 - 7/16
3 x y = 25/16
y = 25/16 : 3
y = 25/48