Determine a raiz de cada equação a seguir (resolva descobrindo o valor do termo x desconhecido). a)x-17 = -9 b)2x = -7 c)3x+2 = 2x-11 d)2x = 16 e)x/2 = -5 f)2x+14 = 5x-1 g)4x-5 =6x+11 h)5x+4-2x = 26-3x i)3.(x+2)+5 = x+12 j)x+4.(x-1) = 9-2.(x+3) k)5.(3x-2) = 2.(6x+3) l)2.(3x-1)+2.(3-x) m)7.(x-1) = 2.(3x+1) n)2.(3-y)+7.(2-y) = 15-4y o)2.(x-2)+5.(2-x)+6.(x-1) = 0 p)3.(x-2)-(1-x) = 13
Soluções para a tarefa
Resposta:
a) 8
b) -3,5
c) -9
d) 9,5
e) -10
f) -5
g) -2
h) 3,66...
i) 0,5
j) 1
k) 5,33...
l) 5x+4
m) 9
n) -1
o) 0
p)
Explicação passo a passo:
a)x-17 = -9
x=17-9
x=8
b)2x = -7
x=-7÷2
x=-3,5
c)3x+2 = 2x-11
3x-2x=2-11
x=-9
d)2x = 16
x=19÷2
x=9,5
e)x/2 = -5
x=-5.2
x=-10
f)2x+14 = 5x-1
2x-5x=-1-14
-3x=-15
x= -15÷3
x=-5
g)4x-5 =6x+11
4x-6x=11-5
-2x=6
x=6÷(-3)
x=-2
h)5x+4-2x = 26-3x
5x-2x+3x=26-4
6x=22
x=22÷6
x= 3,66...
i)3.(x+2)+5 = x+12
3x+6+5=x+12
3x-x=12-6-5
2x= 1
x= 1÷2
x=0,5
j)x+4.(x-1) = 9-2.(x+3)
x+4x-4=9-2x-6
x+4x+2x=9-6+4
7x=7
x=7÷7
x=1
k)5.(3x-2) = 2.(6x+3)
15x-10=12x+6
15x-12x=6+10
3x=16
x=16÷3
x=5,33...
l)2.(3x-1)+2.(3-x)
6x-2+6-x
5x+4
m)7.(x-1) = 2.(3x+1)
7x-7=6x+2
7x-6x=2+7
x=9
n)2.(3-y)+7.(2-y) = 15-4y
6-2y+14-7y=15-4y
-2y-7y+4y=15-6-14
-5y=-5
y=-5÷5
y=-1
o)2.(x-2)+5.(2-x)+6.(x-1) = 0
2x-4+10-5x+6x-6=0
3x=0
x=0÷3
x=0