Question

Resolva as equações a seguir

Answer 1

a
x/4 - x/6 = 3/1
mmc = 12
3x - 2x = 36
x = 36 ****
b
3x/4 - x/3 = 5/1
mmc = 12
9x - 4x = 60
5x = 60
x = 60/5 = 12 ****
c
x/5 - 1/1 = 9/1
mmc = 5
x - 5 = 45
x = 45 + 5
x = 50 ****
d
x/3 - 5/1 = 0
mmc = 3
x - 15 = 0
x = 15 ****
e
x/2 + 3x/5 = 6/1
mmc = 10
5x + 6x = 60
11x = 60
x = 60/11 ****
f
x/5 + x/2 = 7/10
mmc = 10
2x + 5x = 7
7x = 7
x = 7/7 = 1***
g
( 5x - 10)/1  =  ( x + 1)/2
multiplica em cruz
2 ( 5x - 10) = 1 ( x + 1)
10x - 20 = x + 1
10x - x = 1 + 20
9x = 21
x = 21/9 = 7/3 ***
h
( 8x - 1)/2 - 2x/1  =3/1
mmc = 2
1 ( 8x - 1) - 2( 2x) = 6
8x - 1 - 4x = 6
4x = 6 + 1
4x = 7
x = 7/4 ***
i
2x - 7 )/5  = ( x + 2)/3
multiplica em cruz
3 ( 2x- 7) = 5 ( x + 2)
6x - 21 = 5x + 10
6x - 5x = 10 + 21
x = 31 ****
j
5x/2 = 2x/1 +  ( x - 2)/3
mmc = 6
15x = 12x + 2( x - 2)
15x = 12x + 2x - 4
15x -12x - 2x = -4
x = -4 ***
k
( x - 3)/4 - (2x - 1)/5 = 5/1
mmc = 20
5 ( x - 3) - 4 ( 2x - 1) = 100
5x - 15 - 8x + 4  = 100
-3x - 11 = 100
-3x = 100 + 11
-3x = 111
3x = - 111
x = -111/3 ****
l
( x - 1)/2 + ( x - 3)/3 = 6/1
mmc = 6
3 ( x - 1) + 2 ( x - 3) = 36
3x- 3 + 2x - 6 = 36
5x - 9 = 36
5x = 36 + 9
5x = 45
x = 45/5 = 9 ****
m
( 5x - 7)/2 = 1/2 + x/1
mmc = 2
1( 5x - 7) = 1 + 2x
5x - 7 - 2x = 1
3x = 1 + 7
3x = 8
x = 8/3 ****
n
x/4 +( 3x - 2)/2 = ( x - 3)/2
mmc = 4
x + 2 ( 3x - 2) = 1 ( x - 3)
x + 6x - 4 = x - 3
6x  + x - x = -3 + 4
6x = 1
x = 1/6 ****
o
( 2x - 7)/5  = ( x + 2)/3
multiplica em cruz
3 ( 2x - 7) = 5 ( x + 2)
6x - 21 = 5x + 10
6x - 5x = 10 + 21
x = 31 ****