Question

Rezolvați in Q ecuațiile:
a)
$( \frac{15}{16} .2 \frac{6}{25} - 1 \frac{1}{2} ).(x + \frac{1}{2} ) = 2 \frac{1}{3} - \frac{5}{6 }$

Answer 1

$\left(\frac{15}{16}\cdot \frac{56}{25}-\frac{3}{2}\right)\left(x+\frac{1}{2}\right)=\frac{7}{3}-\frac{5}{6}$

$\left(\frac{15}{16}\cdot \frac{56}{25}-\frac{3}{2}\right)\left(x+\frac{1}{2}\right)=\frac{14-5}{6}$

$\left(\frac{15}{16}\cdot \frac{56}{25}-\frac{3}{2}\right)\left(x+\frac{1}{2}\right)=\frac{9}{6}$

$\left(\frac{15}{16}\cdot \frac{56}{25}-\frac{3}{2}\right)\left(x+\frac{1}{2}\right)=\frac{3}{2}$

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

$3\left(x+\frac{1}{2}\right)=\frac{15}{2}$

$x+\frac{1}{2}=\frac{5}{2}$

$x=\frac{5}{2}-\frac{1}{2}$

$x=2$