Question

sabendo que U = Q, Resolva as equações.

a) 2( x + 3 ) = 30
b) 8 - 2( x + 5 ) = 5
c) 3( y - 1 ) - 4( y - 2 ) = 6
d) 2( 5y + 1 ) = 27
e) 2y - 3( y - 1 ) = 8 - 2( y - 2 )
f) 6x - 5( 1 - x ) = 10x + 6
g) 3( 2x + 4 ) = 4( x + 6 )

Answer 1

a) 2( x + 3 ) = 30=> 2x +6=30=> 2x=30-6=>2x=24==> x=12


b) 8 - 2( x + 5 ) = 5=> 8-2x-5=5=>-2x=5+5-8=> -2x=-2(-1)=>2x=2 ==>x = 1

c) 3( y - 1 ) - 4( y - 2 ) = 6 =>3y-3- 4y+2=6=> -y=6+3-2=>-y=7(-1)=> y= - 7

d) 2( 5y + 1 ) = 27=> 10y+2=27=> 10y=27-2=> 10y=25=> x = 25/10

e) 2y - 3( y - 1 ) = 8 - 2( y - 2 )=2y-3y+3=8-2y+2=>2y-3y+2y=10-3=>y=7

f) 6x - 5( 1 - x ) = 10x + 6=>6x-5+5x=10x+6=>11x-10x=6+5=> x = 11

g) 3( 2x + 4 ) = 4( x + 6 )=>6x+12=4x+24=> 6x-4x=24-12=>2x=12=> x = 6

Answer 2

a) x = 12

b) x = - 7/2

c) y = - 1

d) x = 5/2

e) y = 9

f) x = 11

g) x = 6

a) 2.(x + 3) = 30

2x + 6 = 30

2x = 30 - 6

2x = 24

x = 24/2

x = 12

b) 8 - 2.(x + 5) = 5

8 - 2x - 10 = 5

- 2x - 2 = 5

- 2x = 5 + 2

- 2x = 7

2x = - 7

x = - 7/2

c) 3.(y - 1) - 4(y - 2) = 6

3y - 3 - 4y + 8 = 6

3y - 4y + 5 = 6

- y = 6 - 5

- y = 1

y = - 1

d) 2.(5y + 1) = 27

10y + 2 = 27

10y = 27 - 2

10y = 25

x = 25/10

x = 5/2

e) 2y - 3.(y - 1) = 8 - 2.(y - 2) =

2y - 3y + 3 = 8 - 2y + 4

2y - 3y + 2y = 12 - 3

y = 9

f) 6x - 5.(1 - x) = 10x + 6

6x - 5 + 5x = 10x + 6

11x - 10x = 6 + 5

x = 11

g) 3.(2x + 4) = 4.(x + 6)

6x + 12 = 4x + 24

6x - 4x = 24 - 12

2x = 12

x = 12/2

x = 6

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