Question

equaçoes do 1° grau com uma incognita,sendo U=Q
a)2x-5=9-5
b)7x11=10+3x+9
c)4x-6+x=90-6x-x
d)9*(x+1)-7*(x-3)=33
e)2*(3-x)+7-(2-x)=15-4x
f)x-5/2-x/3=1/3-3x+14/12
g)5x-11/2-x-1/5=11x-1

Answer 1

a)2x-5=9-5

2x = 9 +5 -5
2x = 14 -5
2x = 9
x = 9/2   ou 4,5


b)7x+11=10+3x+9
7x -3x = 10+9 -11
4x = 19 -11
4x = 8
x = 8/4
x= 2

c)4x-6+x=90-6x-x
4x +x +6x +x = 90 +6
12x = 96
x = 96/12
x = 8

d)9*(x+1)-7*(x-3)=33
9x + 9 -7x +21 = 33
9x -7x = 33 -9 -21
2x = 33 -30
2x = 3
x = 3/2

e)2*(3-x)+7-(2-x)=15-4x
6 -2x +7 -2 +x = 15 -4x
-2x +x +4x = 15 +2 -6-7
-2x +5x = 17 -13
3x = 4
x = 4/3


f)x-5/2-x/3=1/3-3x+14/12      mmc (2 ,3, 12)= 12
[6.(x-5) -4x = 4 - 36x + 14]/12
[6x -30 -4x = 4 -36x +14]/12    elimina denominador 12
6x -30 -4x = 4 -36x +14
6x +36x -4x = 4 +14 +30
42x -4x = 48
38x = 48
x = 48/38      simplificando 48 e 38 por 2
x = 24/19

g)5x-11/2-x-1/5=11x-1        mmc (2 ,5) = 10

[5.(5x -11) - 2.(x-1) = 10.(11x -1)]/10

[25x -55 -2x +2 = 110x -10]/10      elimina denominador 10

25x -55 -2x +2 = 110x -10

25x -2x -110x = -10-2 +55
25x - 112x = 12 +55
-87x = 43.(-1)
87x = -43
x = -43/87