Tìm \[x\].
a) x : 2,2 = (28,7 – 13,5).2 ;
b) \[\left( {3\frac{3}{4}.x + 75\% } \right):\frac{2}{3} = - 1\];
c) 4x – (3 + 5x) = 14
Hướng dẫn giải:
a) x : 2,2 = (28,7 – 13,5).2
x : 2,2 = 15,2 . 2
x : 2,2 = 30,4
x = 30,4 . 2,2
x = 66,88
Vậy x = 66,88
b) \[\left( {3\frac{3}{4}.x + 75\% } \right):\frac{2}{3} = - 1\]
\[\left( {\frac{{15}}{4}.x + \frac{{75}}{{100}}} \right):\frac{2}{3} = - 1\]
\[\left( {\frac{{15}}{4}.x + \frac{3}{4}} \right):\frac{2}{3} = - 1\]
\[\frac{{15}}{4}.x + \frac{3}{4} = \left( { - 1} \right).\frac{3}{2}\]
\[\frac{{15}}{4}.x + \frac{3}{4} = \frac{{ - 3}}{2}\]
\[\frac{{15}}{4}.x = \frac{{ - 3}}{2} - \frac{3}{4}\]
\[\frac{{15}}{4}.x = \frac{{ - 6}}{4} - \frac{3}{4}\]
\[\frac{{15}}{4}.x = \frac{{ - 9}}{4}\]
\(x = \frac{{ - 9}}{4}:\frac{{15}}{4}\)
\(x = \frac{{ - 9}}{4}.\frac{4}{{15}}\)
\(x = \frac{{ - 3}}{5}\)
Vậy \(x = \frac{{ - 3}}{5}.\)
c) 4x – (3 + 5x) = 14
4x – 3 – 5x = 14
4x – 5x = 14 + 3
– x = 17
x = –17
Vậy x = –17
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