Question

Rezolvati in multimea numerelor rationale ecuatiile ajutor va rog maine ma asculta si trb sa am astea facute dau puncte si coroana

Answer 1

a)

$\frac{2}{9}x=\frac{4}{3}$

Produsul mezilor=produsul extremilor

6x=36

x=6

b)

$-\frac{3}{5} y=0$

y=0

c)

2,5=4x

$x=\frac{2,5}{4} =0,625$

d)

$6x=\frac{5}{6} +4x\\\\2x=\frac{5}{6}\\\\x=\frac{\frac{5}{6}}{2}=\frac{5}{12}$

e)

$1,2z-1=\frac{2}{5} \\\\1,2z=\frac{2}{5} +1\\\\1,2z=\frac{7}{5} \\\\z=\frac{7}{5} :\frac{12}{10} \\\\z=\frac{7}{5} \cdot \frac{10}{12} =\frac{7}{6}$

f)

$1,(3)x+\frac{1}{4} =\frac{x}{3} -1\\\\\frac{12x}{9} +\frac{1}{4} =\frac{x}{3} -1\\\\\frac{4x}{3} +\frac{1}{4} =\frac{x}{3} -1$

Aducem la acelasi numitor comun 12 si eliminam numitorul:

16x+3=4x-12

12x=-15  |:3

4x=-5

$x=-\frac{5}{4}$

g)

$\frac{y-1}{2} +\frac{y+3}{3} =\frac{5}{12}$

Aducem la acelasi numitor comun 12 si eliminam numitorul:

6y-6+4y+12=5

10y+6=5

10y=-1

$y=-\frac{1}{10}$

Un alt exercitiu gasesti aici: https://brainly.ro/tema/2730673

#SPJ5

Answer 2

Răspuns:

a. 2x/9=4/3

2x·3=4·9

6x=36=>x=36:6=>x=6

b. -3y/5=0

-3y=5·0=>y=0

c. 2,5=4x

x=2,5:4=>x=0,625

d. ⁶⁾6x=5/6+⁶⁾4x

36x=5+24x

36x-24x=5

12x=5=>x=5/12

e. 1,2z-1=0,4

1,2z=0,4+1

z=1,4:1,2

z=1,1(6)

f. (13-1)x/9+1/4=x/3-1

12x/9+1/4=x/3-1

⁴⁾4x/3+³⁾1/4=⁴⁾x/3-¹²⁾1

16x+3=4x-12

16x-4x=-12-3

12x=-15=>x=-15/12=>x=-1,25

g. ⁶⁾(y-1)/2+⁴⁾(y+3)/3=5/12

6y-6+4y+12=5

10y=5+6-12

y=-1/10=>y=-0,1