Question

2. Rezolvaţi în R ecuația: a) 3(x-1)= x+2; b) 3(x-1) = 5x + 2; c) 3(x-2) = 4x; d) 5(x+3) = 10; e) 3(2x + 7) = 9; f) 2(2-x) = x-5; g) -4(x-2)=-6; h) -2° +3(x+5) = x+8; i) 2(x-1) -5x = 18-76; 1) 3(2x-1)+4 = 7; k) 2(x+1)=3(x-1); 1) 2(x+3)+3x = 5(x+2)​

Answer 1

Răspuns:

Explicație pas cu pas:

2. Rezolvaţi în R ecuația:

a) 3(x-1)= x+2  ⇒3x-3=x+2  ⇒3x-x=2+3  ⇒2x=5  ⇒x=5/2

b) 3(x-1) = 5x + 2  ⇒3x-3=5x+2  ⇒3x-5x=2+3  ⇒-2x=5  ⇒x=-5/2

c) 3(x-2) = 4x  ⇒3x-6=4x  ⇒3x-4x=6  ⇒-x=6  ⇒x=-6

d) 5(x+3) = 10  ⇒5x+15=10  ⇒5x=10-15  ⇒5x=-5  ⇒x=-1

e) 3(2x + 7) = 9  ⇒6x+21=9  ⇒6x=9-21  ⇒6x=-12  ⇒x=-2  

f) 2(2-x) = x-5  ⇒4-2x=x-5  ⇒-2x-x=-5-4  ⇒-3x=-9  ⇒x=3

g) -4(x-2)=-6  ⇒-4x+8=-6  ⇒-4x=-6-8  ⇒-4x=-14  ⇒x=14/4=7/2

h) -2° +3(x+5) = x+8  ⇒-1+3x+15=x+8  ⇒3x-x=8-14  ⇒2x=-6  ⇒x=-3

i) 2(x-1) -5x = 18-76  ⇒2x-2-5x=18-76  ⇒-3x=18+2-76  ⇒-3x=-56  ⇒x=56/3

j) 3(2x-1)+4 = 7  ⇒6x-3+4=7  ⇒6x=7-4+3  ⇒6x=6  ⇒x=1  

k) 2(x+1)=3(x-1)  ⇒2x+2=3x-3  ⇒2x-3x=-3-2  ⇒-x=-5  ⇒x=5

l) 2(x+3)+3x = 5(x+2)​  ⇒2x+6+3x=5x+10  ⇒5x-5x=10-6  ⇒0=4  nu se poate, probabile scris ceva gresit.