Question

Bài 1: Tìm x, biết

a, \(\left(4\frac{46}{65}+x\right).1\frac{1}{12}=5,75\) b, \(\frac{5}{4}-\left[\frac{3}{2}.x+0,5\right]=1\frac{1}{4}\)

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Answer 1

\(\left(4\frac{46}{65}+x\right).1\frac{1}{12}=5,75\)

\(\Rightarrow\frac{306}{65}+x.\frac{13}{12}=\frac{23}{4}\)

\(\Rightarrow\frac{51}{10}+\frac{13}{12}x=\frac{23}{4}\)

\(\Rightarrow306x=65x=345\)

\(\Rightarrow65x=39\)

\(\Rightarrow x=\frac{3}{5}\)

b, \(\frac{5}{4}-\left(\frac{3}{2}x+0,5\right)=1\frac{1}{4}\)

\(\Rightarrow\frac{5}{4}-\frac{3}{2}x-0,5=\frac{5}{4}\)

\(\Rightarrow\frac{5}{4}-\frac{3}{2}x-\frac{1}{2}=\frac{5}{4}\)

\(\Rightarrow\frac{3}{4}-\frac{3}{2}x=\frac{5}{4}\)

\(\Rightarrow3-6x=5\)

\(\Rightarrow-6x=2\)

\(\Rightarrow x=-\frac{1}{3}\)