Question

Rezolvati in multimea numerelor intregi ecuatiile
A.17+3(x+2)=x+31
B.4(x+5)+27=2x+15
C.5(x+1)-2x=x-17
D.33-6 (x+1)=4x +77
Va rog ajutați-mă

Answer 1

a)17+3(x+2)=x+31

17+3x+6=x+31

3x+23=x+31

3x=x+31-23

3x=x+8

3x-x=8

2x=8

$x = \frac{8}{2} = 4$

b)4(x+5)+27=2x+15

4x+20+27=2x+15

4x+47=2x+15

4x+47-2x=15

2x+47=15

2x=15-47=-32

$x = - \frac{32}{2} = - 16$

c)5(x+1)-2x=x-17

5x+5-2x=x-17

3x+5=x-17

3x+5-x=-17

2x+5=-17

2x=-17-5=-22

$x = - \frac{22}{2} = - 11$

d)33-6(x+1)=4x+77

33-6x-6=4x+77

-6x+27=4x+77

27=4x+77+6x

27=10x+77

27-77=10x

-50=10x

$- \frac{50}{10} = x$

-5=x

x=-5