2- Resolva as equações: b) a) 4x-1=3(x-1) 3(x-2)=2x-4 2(x - 1) = 3x + 4 c) e) d) 3(x-1)-7=15 7(x-4)=2x-3 f) 3(x-2) = 4(3-x) 3(3x-1)=2(3x + 2) 7(x-2) = 5(x+3) 3(2x - 1) = -2(x+3) j) 5x-3(x+2) = 15 k) g) h) i) 2x+3x+9=8(6-x)
Soluções para a tarefa
Resposta:
a) 4x-1=3(x-1) Resp: x=-2
b) 3(x-2)=2x-4 Resp: x=2
c) 2(x - 1) = 3x + 4 Resp: x=-6
d) 3(x-1)-7=15 Resp: x=25/3
e) 7(x-4)=2x-3 Resp: x=5
f) 3(x-2) = 4(3-x) Resp: x=-18
g) 3(3x-1)=2(3x + 2) Resp: x=7/3
h) 7(x-2) = 5(x+3) Resp: x=1/2
i) 3(2x - 1) = -2(x+3) Resp: x=0
j) 5x-3(x+2) = 15 x=9/2
k)2x+3x+9=8(6-x) Resp: x=3
Explicação passo a passo:
a) 4x-1=3(x-1)
4x-1=3x-3
x=-3+1
x=-2
b) 3(x-2)=2x-4
3x-6=2x-4
x=-4+6
x=2
c) 2(x - 1) = 3x + 4
2x-2=3x+4
-x=6
x=-6
d) 3(x-1)-7=15
3x-3-7=15
3x=15+10
x=25
3
e) 7(x-4)=2x-3
7x-28=2x-3
5x=-3+28
x=25
5
x=5
f) 3(x-2) = 4(3-x)
3x-6=12-4x
-x=18
x=-18
g) 3(3x-1)=2(3x + 2)
9x-3=6x+4
3x=4+3
x = 7
3
h) 7(x-2) = 5(x+3)
7x-14=5x+15
2x=15-14
x= 1
2
i) 3(2x - 1) = -2(x+3)
6x-6=-2x-6
8x=-6+6
8x=0
x=0
j) 5x-3(x+2) = 15
5x-3x+6=15
2x=15-6
x= 9
2
k)2x+3x+9=8(6-x)
5x=48-8x-9
13x=39
x=3