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4.Rezolvati ecuatiile urmatoare,unde x e Q.

a)
[tex] \frac{4}{3} x = \frac{5}{9} [/tex]
b)

[tex] \frac{5}{2} x = \frac{3}{8} [/tex]
c)
[tex] \frac{6}{7} x = \frac{8}{5} [/tex]
d)
[tex] \frac{8}{27} x = - \frac{4}{15} [/tex]
e)
[tex] \frac{15}{4} = - \frac{25}{8} [/tex]
f)
[tex] - \frac{4}{3} x = - \frac{2}{9} [/tex]


Răspuns :

Explicație pas cu pas:

a)

[tex]\frac{4}{3} x = \frac{5}{9} \\ x = \frac{5 \times 3}{9 \times 4} \\ = > x = \frac{5}{12}[/tex]

b)

[tex]\frac{5}{2} x = \frac{3}{8} \\ x = \frac{3 \times 2}{8 \times 5} \\ = > x = \frac{3}{20}[/tex]

c)

[tex]\frac{6}{7} x = \frac{8}{5} \\ x = \frac{8 \times 7}{5 \times 6} \\ = > x = \frac{28}{15}[/tex]

d)

[tex]\frac{8}{27} x = - \frac{4}{15} \\ x = - \frac{4 \times 27}{15 \times 8} \\ = > x = - \frac{9}{10} [/tex]

e)

[tex]\frac{15}{4}x = - \frac{25}{8} \\x = - \frac{25 \times 4}{8 \times 15} \\ = > x = - \frac{5}{6} [/tex]

f)

[tex]- \frac{4}{3} x = - \frac{2}{9} \\ x = \frac{2 \times 3}{9 \times 4} \\ = > x = \frac{1}{6} [/tex]