Question

Resolva aplicando a propriedade distribuitiva:
a)5(x+4)=2
b)6(x+2)=1
c)8(x+5)=-2
d)9(x+4)=-5
e)3(3x+4)=6
f)10(x+10)=0
g)7(x+7)=0

Answer 1

a)
5 ( x + 4 ) = 2
5x + 20 = 2
5x = 2 - 20
5x = - 18
x = - 18/5

s = { - 18/5 }

b)
6 ( x + 2 ) = 1
6x + 12 = 1
6x = 1 - 12
6x = - 11
x = - 11/6

s = { - 11/6 }

c)
8 ( x + 5 ) = - 2
8x + 40 = - 2
8x = - 2 - 40
8x = - 42
x = - 42/8 : 2 = - 21/4

s = { - 21/4 }

d)
9 ( x + 4 ) = - 5
9x + 36 = - 5
9x = - 6 - 36
9x = - 42
x = - 42/9

s = { - 42/9 }

e)
3 ( 3x + 4 ) = 6
9x + 12 = 6
9x = 6 - 12
9x = - 6
x = - 6/9 : 3 = - 2/3

s = { - 2/3 }

f)
10 ( x + 10 ) = 0
10x + 100 = 0
10x = 0 - 100
10x = - 100
x = - 100/10
x = - 10

s = { - 10 }

g)
7 ( x + 7 ) = 0
7x + 49 = 0
7x = 0 - 49
7x = - 49
x = - 49/7
x = - 7

s = { - 7 }