5) Resolva as seguintes equações e apresente os cálculos
a) 2 (3 – x ) = 3 ( x -4) + 15
b) 3 ( 5 – x ) – 3 ( 1 – 2x) = 42
c) ( 4x + 6) – 2x = (x – 6) + 10 +14
d) ( x – 3) – ( x + 2) + 2( x – 1) – 5 = 0
e) 3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
f) 3( x- 1) – ( x – 3) + 5 ( x – 2) = 18
Respostas
Olá, boa tarde ☺
Resoluções:
a)
2 (3 – x ) = 3 ( x -4) + 15
6 - 2x = 3x - 12 + 15
-2x - 3x = -12 + 15 - 6
-5x = -3 .(-1)
5x = 3
x=3/5
b)
3( 5 – x ) – 3( 1 – 2x) = 42
15 - 3x - 3 + 6x = 42
-3x + 6x = 42 - 15 + 3
3x = 30
x=30/3
x=10
c)
(4x + 6) – 2x = (x – 6) + 10 +14
4x + 6 - 2x = x - 6 + 24
4x - 2x - x = -6 + 24 - 6
x = 12
d)
( x – 3) – ( x + 2) + 2( x – 1) – 5 = 0
x - 3 - x - 2 + 2x - 2 - 5 = 0
x - x + 2x = 0 + 3 + 2 + 2 + 5
2x = 12
x=12/2
x=6
e)
3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x - 8x + 6 = 2 -3x + 3
3x - 8x + 3x = 2 + 3 - 6
-2x = -1 .(-1)
2x = 1
x = 1/2
f)
3(x- 1) – (x – 3) + 5 (x – 2) = 18
3x - 3 - x + 3 + 5x - 10 = 18
3x - x + 5x = 18 + 3 - 3 + 10
7x = 28
x=28/7
x=4
Bons Estudos :)
Resposta:
Olá, bom dia
Resoluções:
a)
2 (3 – x ) = 3 ( x -4) + 15
6 - 2x = 3x - 12 + 15
-2x - 3x = -12 + 15 - 6
-5x = -3 .(-1)
5x = 3
x=3/5
b)
3( 5 – x ) – 3( 1 – 2x) = 42
15 - 3x - 3 + 6x = 42
-3x + 6x = 42 - 15 + 3
3x = 30
x=30/3
x=10
c)
(4x + 6) – 2x = (x – 6) + 10 +14
4x + 6 - 2x = x - 6 + 24
4x - 2x - x = -6 + 24 - 6
x = 12
d)
( x – 3) – ( x + 2) + 2( x – 1) – 5 = 0
x - 3 - x - 2 + 2x - 2 - 5 = 0
x - x + 2x = 0 + 3 + 2 + 2 + 5
2x = 12
x=12/2
x=6
e)
3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x - 8x + 6 = 2 -3x + 3
3x - 8x + 3x = 2 + 3 - 6
-2x = -1 .(-1)
2x = 1
x = 1/2
f)
3(x- 1) – (x – 3) + 5 (x – 2) = 18
3x - 3 - x + 3 + 5x - 10 = 18
3x - x + 5x = 18 + 3 - 3 + 10
7x = 28
x=28/7
x=4
Bons Estudos <3