Question

1- Encontre a raíz ou solução das equações abaixo, e em seguida faça a verificação: (ME AJUDEM PELO O AMOR DE DEUS)
a) 3x - 5 = x - 1
b) 5x + 8 = 4x + 11
c) x + 2 = 2x + 3
d) 4x + 8 = 3x - 5
e) 3a - 4 = a + 1
f) 9y - 11 = -2
g) 5x - 1 = 8x +5
h) 3/2 = 5/x + 1/5
i) x/3 - x/6 = 2/3
j) x/2 + x/5 - x/10 = 1 - 4x/5
l) 1/6 - x/2 = - 2x/3 + 7/4

Answer 1

a
3x - x = -1 + 5
2x = 4
x = 4/2 = 2 ****
b
5x - 4x = 11 - 8
x = 3 ***
c
x - 2x =3 - 2
-x = 1
x = -1 ***
d
4x - 3x = -5 - 8
x = -13 ***
e
3a - a = 1 + 4
2a  = 5
a = 5/2 ***
f
9y = -2 + 11
9y = 9
y = 9/9 = 1
g
5x - 8x = 5 + 1
-3x = 6
3x = -6
x = -6/3 = -2 ***
h
3/2 - 1/5 =5/x
mmc 10x
15x - 2x = 50
13x = 50
x = 50/13 ***
i
x/3 - x/6 = 2/3
mmc = 6
2x - x = 4
x = 4 ****

j
x/2 + x/5 -x/10 = 1/1 - 4x/5
mmc = 10
5x + 2x - x = 10 - 8x
6x  + 8x  = 10
14x = 10
x = 10/14 = 5/7 ***
l
1/6 - x/2 = -2x/3 + 7/4
mmc = 12
2 - 6x = - 8x  + 21
-6x + 8x = 21 - 2
2x = 19
x = 19/2

VERIFICAÇOES
3X - 5 = X - 1
3(2) - 5 = 2-1
6 - 5 = 2 - 1 CONFERE
B
5X + 8 = 4X + 11
5(3) + 8 = 4 ( 3) + 11
15 + 8 = 12 + 11
23 = 23 CONFERE
C
X + 2 = 2X + 3
(-1) + 2 = 2 (-1) + 3
+ 1 = -2 + 3
1 = 1 confere
d
4x + 8 = 3x - 5
4(-13 )  + 8  = 3(-13) - 5
-52 + 8 = -39 - 5
-44 = - 44  confere
e
3a - 4 = a + 1
3(5/2) - 4 = 5/2 + 1
7,5 - 4 = 2,5 + 1
3,5 = 3,5   ( nota 5/2 = 2,5  e 15/2 = 7,5  )
f
9y - 11 = -2
9 ( 1) - 11 = -2
9 - 11 = -2
-2 = -2 confere
g
5x - 1 = 8x + 5
5 (-2) - 1 = 8 ( -2) + 5
-10 - 1 = -16 + 5
-11 = -11 confere
h
3/2 = 5/x + 1/5
3/2 = (5/1 : 50/13 ) + 1/5
3/2 = ( 5/1 * 13/50) + 1/5
3/2 = 65/50 + 1/5
3/2 =( 65 + 10)/50
3/2 = 75/50
3/2 = 3/2 confere
i
x/3 - x/6 = 2/3
4/3 - 4/6 = 2/3
( 8 - 4)/6 = 2/3
4/6 = 2/3
2/3  =2/3 confere
j
x/2 + x/5 - x/10 = 1/1 - 4x/5
(5/7 : 2/1 ) + ( 5/7 : 5/1) - ( 5/7 : 10/1) = 1/1 - [4 ( 5/7) : 5/1)]
( 5/7 * 1/2) + ( 5/7 * 1/5) - ( 5/7 * 1/10) = 1/1 -( 20/7 * 1/5)
5/14 + 5/35 - 5/70 = 1/1 - 20/35
mmc = 70
25 + 10 - 5 = 70 - 40
30 = 30 confere
l
1/6 - x/2 = - 2x/3 + 7/4
1/6 - (19/2 : 2/1) =- 2 [( 19/2) : 3/1 ]  + 7/4
1/6 - ( 19/2 * 1/2) =- 2[ (19/2) * (1/3)] + 7/4
1/6 - 19/4 =-  2 ( 19/6)  + 7/4
1/6 - 19/4 = - 38/6 + 7/4
mmc = 12
2 - 57 =-  76 + 21
-55  = -55 confere