Question

4.Rezolvati ecuatiile urmatoare,unde x e Q.

a)
$\frac{4}{3} x = \frac{5}{9}$
b)

$\frac{5}{2} x = \frac{3}{8}$
c)
$\frac{6}{7} x = \frac{8}{5}$
d)
$\frac{8}{27} x = - \frac{4}{15}$
e)
$\frac{15}{4} = - \frac{25}{8}$
f)
$- \frac{4}{3} x = - \frac{2}{9}$
​

Answer 1

Explicație pas cu pas:

a)

$\frac{4}{3} x = \frac{5}{9} \\ x = \frac{5 \times 3}{9 \times 4} \\ = > x = \frac{5}{12}$

b)

$\frac{5}{2} x = \frac{3}{8} \\ x = \frac{3 \times 2}{8 \times 5} \\ = > x = \frac{3}{20}$

c)

$\frac{6}{7} x = \frac{8}{5} \\ x = \frac{8 \times 7}{5 \times 6} \\ = > x = \frac{28}{15}$

d)

$\frac{8}{27} x = - \frac{4}{15} \\ x = - \frac{4 \times 27}{15 \times 8} \\ = > x = - \frac{9}{10}$

e)

$\frac{15}{4}x = - \frac{25}{8} \\x = - \frac{25 \times 4}{8 \times 15} \\ = > x = - \frac{5}{6}$

f)

$- \frac{4}{3} x = - \frac{2}{9} \\ x = \frac{2 \times 3}{9 \times 4} \\ = > x = \frac{1}{6}$