Question

a) 1/3 + 1/2 : x = 1/5

b) 1/3x + 2/5 (x+1) = 0

c) ( x + 1/2 ) (x - 3/4 )= 0

Answer 1

a)\(\frac{1}{3}+\frac{1}{2}:x=\frac{1}{5}\)

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

      \(\frac{1}{2}:x=-\frac{2}{15}\)

         \(x=-\frac{15}{4}\)

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

      \(\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)

        \(\frac{11}{15}x=-\frac{2}{5}\)

          \(x=-\frac{6}{11}\)

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

       \(\Rightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\x-\frac{3}{4}=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{1}{2}\\x=\frac{3}{4}\end{cases}}\)