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a. = 0,25 : 0,25 + 0,4 x 2,5 + 0,2 x 5
= 1 + 1 + 1
= 3
b. y x ( 7 + 1 + 12 - 6 - 4) = 45
y x 9 = 45
=> y = 5
`y xx 50% +y:0,25+y=71,5`
`=> y xx 0,5+y xx 4 + y =71,5`
`=> y xx (0,5+4+1)=71,5`
`=> y xx 5,5=71,5`
`=>y=71,5:5,5`
`=>y=13`
50% x y + y : 0,25 = 13,5
0,5 x y + y : 0,25 = 13,5
0,5 x y + y x 4 = 13,5
y x ( 4 + 0,5 ) = 13,5
y x 4,5 = 13,5
y = 13,5 : 4,5
y = 3
\(\dfrac{4}{3}\) = \(\dfrac{20}{4}\)\(x\) - 1
5\(x\) - 1 = \(\dfrac{4}{3}\)
5\(x\) = \(\dfrac{4}{3}\) + 1
5\(x\) = \(\dfrac{7}{3}\)
\(x\) = \(\dfrac{7}{3}\) : 5
\(x\) = \(\dfrac{7}{15}\)
b,
2\(\times\)\(x\) = 3\(\times\) y
\(x\) = \(\dfrac{3}{2}\) \(\times\) y
y - \(\dfrac{3}{2}\) \(\times\) y = 5
\(y\) \(\times\) ( 1 - \(\dfrac{3}{2}\)) = 5
\(y\) \(\times\) - \(\dfrac{1}{2}\) = 5
\(y\) = 5 : (-\(\dfrac{1}{2}\))
\(y\) = - 10
\(x\) = y - 5 = -10 - 5 =-15
\(y\times25\%+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times\frac{25}{100}+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times\frac{1}{4}+y\times\frac{3}{4}+y=20\)
\(\Rightarrow y\times(\frac{1}{4}+\frac{3}{4}+1)=20\)
\(\Rightarrow y\times2=20\)
\(\Rightarrow y=20\div2=10\)
y x 25% +y x 3/4 +y =20
y x25/100 + y x 3/4 + y =20
y x ( 25/100 + 3/4 + 1 ) =20
y x 2 =20
y =20 : 2
y = 10
\(\Leftrightarrow\) y\(\times\)1/4 + y \(\times\)1/2 + y \(\times\)1/4 + y= 20
\(\Leftrightarrow\)y\(\times\) ( 1/4+1/2+1/4+1)=20
\(\Leftrightarrow\) y\(\times\)2=20
\(\Leftrightarrow\) y=10