Question

Rezolvati ecuatiile:
a) 2(x+1)-3=5;
b) 7-2(x+3)=-11;
c) -5+3(x-1)=-6.

Answer 1

Răspuns:

Explicație pas cu pas:

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

2x+2-3=5

2x = 5-2+3

2x= 6

x=3

b) 7-2(x+3)= -11

7-2x-6= -11

2x=7-6+11

2x=12

x=6

c) -5+3(x-1)= -6

-5+3x-3= -6

3x= -6+5+3

3x= 2

x= 2/3

Answer 2

a)

$2(x+1)-3=5 \iff 2(x+1) = 5 + 3$

$2(x+1) = 8 \ \Big|:2 \iff x+1=4$

$x = 4 - 1 \implies x = 3$

b)

$7-2(x+3)=-11 \iff 2(x+3) = 7 + 11$

$2(x+3) = 18 \ \Big|:2 \iff x+3 = 9$

$x = 9 - 3 \implies x = 6$

c)

$-5+3(x-1)=-6 \iff 3(x-1) = -6+5$

$3x - 3 = -1 \iff 3x = 3-1$

$3x = 2 \implies x = \dfrac{2}{3}$