Question

a) 2( 1 - t ) +1 =3 ( t - 3) - 2 t

b) 2 ( y-2 ) +5 ( 2- y ) = - 3 ( 2y +2 )

c) 7 x - 3 ( x-2 ) =3 (×+4)

d) 3 ( 2x - 1 ) = - 2 ( x +3 )

e) -3 (x -5 ) - 2 ( 2x +1 ) = - 8

f) 6 ( 3 x + 2 ) -8 = - 2

g) 3,5x + 8 =2 (x + 7)


g) 5(m+1) -3 ( 2 m + 1 ) =4 (5 - m)​

Answer 1

A) 2( 1 - t ) +1 =3 ( t - 3) - 2 t
2 - 2t + 1 = 3t - 9 - 2t
3 - 2t = t - 9
3+9= t + 2t
12 = 3t
3t = 12
T = 12/3
t = 4
________

b) 2 ( y-2 ) +5 ( 2- y ) = - 3 (2y +2)
2y - 4 + 10 - 5y = - 6y - 6
- 3y + 6 = - 6y - 6
6y - 3y = - 6 - 6
3y = - 12
Y = -12/3
y = - 4

c) 7 x - 3 ( x-2 ) =3 (×+4)
7x - 3x + 6 = 3x + 12
4x + 6 = 3x + 12
4x - 3x = 12 - 6
x = 6

_____________

d) 3 ( 2x - 1 ) = - 2 ( x +3 )
6x - 3 = - 2x - 6
6x + 2x = - 6 + 3
8x = - 3
x = - 3/8

e) -3 (x -5 ) - 2 ( 2x +1 ) = - 8
-3x + 15 - 4x - 2 = - 8
- 7x + 13 = - 8
- 7x = - 8 - 13
- 7x = - 21
X = 3

f) 6 ( 3 x + 2 ) -8 = - 2
18x + 12 - 8 = - 2
18x + 4 = - 2
18x = - 2 - 4
(:6) 18x = - 6 (:6)
3x = - 1
X = - 1/3



g) 3,5x + 8 =2 (x + 7)
3,5x + 8 = 2x + 14
3,5x - 2x = 14 - 8
1,5 x = 6
X = 6,0/1,5 . 10/10
X = 60/15
X = 4
____________

g) 5(m+1) -3 ( 2 m + 1 ) =4 (5 - m)​
5m + 5 - 6m - 3 = 20 - 4m
- m + 2 = 20 - 4m
- 20 + 2 = - 4m + m
- 18 = - 3m
3m = 18
M = 18/3
m = 6

Answer 2

Eq. de 1° grau:

A) 2( 1 - t ) +1 =3 ( t - 3) - 2 t
2 - 2t + 1 = 3t - 9 - 2t
3 - 2t = t - 9
3+9= t + 2t
12 = 3t
3t = 12
t = 12/3
t = 4

R.: t = 4
________

b) 2 ( y-2 ) +5 ( 2- y ) = - 3 (2y +2)
2y - 4 + 10 - 5y = - 6y - 6
- 3y + 6 = - 6y - 6
6y - 3y = - 6 - 6
3y = - 12
Y = -12/3
y = - 4

R.: y = - 4
____________

c) 7 x - 3 ( x-2 ) =3 (×+4)
7x - 3x + 6 = 3x + 12
4x + 6 = 3x + 12
4x - 3x = 12 - 6
x = 6

R.: x = 6
_____________

d) 3 ( 2x - 1 ) = - 2 ( x +3 )
6x - 3 = - 2x - 6
6x + 2x = - 6 + 3
8x = - 3
x = - 3/8

R.: x = - 3/8
_____________

e) -3 (x -5 ) - 2 ( 2x +1 ) = - 8
-3x + 15 - 4x - 2 = - 8
- 7x + 13 = - 8
- 7x = - 8 - 13
- 7x = - 21 (-1)
7x = 21
x = 21/7
x = 3

R.:
X = 3
_________________
f) 6 ( 3 x + 2 ) -8 = - 2
18x + 12 - 8 = - 2
18x + 4 = - 2
18x = - 2 - 4
(:6) 18x = - 6 (:6)
3x = - 1
X = - 1/3

R.: x = - 1/3
_________________

g) 3,5x + 8 =2 (x + 7)
3,5x + 8 = 2x + 14
3,5x - 2x = 14 - 8
1,5 x = 6
X = 6,0/1,5 . 10/10
X = 60/15
X = 4

Resp.: 4
____________

g) 5(m+1) -3 ( 2 m + 1 ) =4 (5 - m)​
5m + 5 - 6m - 3 = 20 - 4m
- m + 2 = 20 - 4m
- 20 + 2 = - 4m + m
- 18 = - 3m
3m = 18
M = 18/3
m = 6

R.: 6
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