Question

tìm x

7,5x:(8-118/21)=43/15

3(x-1/2)-2(x+1)=1,25x-1

Answer 1

a) \(7,5.x:\left(8-\frac{118}{21}\right)=\frac{43}{15}\)

\(\frac{15}{2}.x:\frac{50}{21}=\frac{43}{15}\)

\(\frac{15}{2}.x.\frac{21}{50}=\frac{43}{15}\)

\(\frac{63}{20}.x=\frac{43}{15}\)

\(x=\frac{43}{15}:\frac{63}{20}\)

\(x=\frac{172}{189}\)

b) \(3.\left(x-\frac{1}{2}\right)-2.\left(x+1\right)=1,25.x-1\)

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

\(\Rightarrow3x-2x-\frac{5}{4}x=(-1)+\frac{3}{2}+2\)

\(x.\left(3-2-\frac{5}{4}\right)=\frac{5}{2}\)

\(x.\frac{\left(-1\right)}{4}=\frac{5}{2}\)

\(x=\frac{5}{2}:\left(\frac{-1}{4}\right)\)

\(x=-10\)