Question

1-Sendo U=Q, resolva as seguintes equações do 1° grau:
A) 2×+(9-×)=8-(3×-6)
B)8•(2×-1)=6•(5×-2)-10
C)y-{y-(2-y)-1}+4=-(-3-y)
D)2•(×-2)-3•(1-×)=20-(×-4)

Answer 1

a) 2x + ( 9 - x ) = 8 - ( 3x - 6 )
2x + 9 - x = 8 - 3x + 6
2x - x + 3x = 8 + 6 - 9
x + 3x = 14 - 9
4x = 5
x = 5/4

b)8 . ( 2x - 1 ) = 6 . ( 5x - 2 ) - 10
16x - 8 = 30x - 12 - 10
16x - 30x = - 12 - 10 + 8
- 14x = - 22 + 8
- 14x = -14 ( - 1 )
14x = 14
x = 14/14
x = 1

c) y - { y - ( 2 - y ) - 1 } + 4 = - ( - 3 - y )
y - { y - 2 + y - 1 } + 4 = 3 + y
y - y + 2 - y + 1 + 4 = 3 + y
y - y - y - y = 3 - 2 - 1
- 2y = 3 - 3
- 3y = 0 ( - 1)
3y = 0 
y = 0/3
y = 0

d) 2 . ( x - 2 ) - 3 . ( 1 - x ) = 20 - ( x - 4 )
2x - 4 - 3 + 3x = 20 - x + 4
2x + 3x + x = 20 + 4 + 4 + 3
6x = 31
x = 31/6