Question

Vă rog frumos! Exercitiul din imagine!
Mulțumesc anticipat!(+ coroană)

Answer 1

6.

a) 3x+2/10+x-7/5=4x-1/5+3x+2/2 - inmultesc ambele parti cu 10 pentru a scapa de numitor.

=> 3x+2+2(x-7)=2(4x-1)+5(3x+2)

=> 3x+2+2x-14=8x-2+15x+10

=> 5x-12=23x+8

=> 5x-23x=8+12

=> -18x=20

=> x=-20/18

=> x=-10/9

b) 4x+8-4/3=2x-10-2/3

=> 4x+8-4/3=2x-32/3

=> 4x+20/3=2x-32/3

=> 4x-2x=-32/3-20/3

=> 2x=-52/3

=> x=-26/3

c) Transform din fractie zecimala in fractie ordinara.

=> 6/9*(x+3)-3/9*(2x+1)=5/9*(x+2) - simplific ce se poate.

=> 2/3*(x+3)-1/3*(2x+1)=5/9x+10/9

=> 2/3*x+2-2/3x-1/3=5/9x+10/9

=> 2-1/3=5/9x+10/9

=> 5/3=5/9x+10/9

=> 15=5x+10

=> -5x=10-15

=> -5x=-5

=> x=-5/-5

=> x=1

d) Transform din fractie zecimala in fractie ordinara.

=> 25/100*(x-3)-4/10*(x+1)=3x+2/10-3/20 - simplific ce se poate.

=> 1/4*(x+3)-2/5*(x+1)=3x+2/10-3/20

=> 1/4x-3/4-2/5x-2/5=3x+2/10-3/20

=> 1/4x-23/20-2/5x=3x+2/10-3/20

=> 5x-23-8x=2(3x+2)-3

=> -3x-23=6x+4-3

=> -3x-23=6x+1

=> -3x-6x=1+23

=> -9x=24

=> x=-24/9

=> x=-8/3

e) Transform din fractie zecimala in fractie ordinara.

=> 125/1000*(2x+3)-5/10*(x-4)=25/100*(3x+1)+1/8 - simplific ce se poate.

=> 1/8*(2x+3)-1/2*(x-4)=1/4*(3x+1)+1/8

=> 1/4x+3/8-1/2x+2=3/4x+1/4+1/8

=> 1/4x+19/8-1/2x=3/4x+3/8

=> 2x+19-4x=6x+3

=> -2x+19=6x+3

=> -2x-6x=3-19

=> -8x=-16

=> x=-16/-8

=> x=2

Sper sa te ajute!