Question

Resolva as equações e faça a verificação: a) 4(x+3)=1 b)5(2x-4)=7(x+1)-3 c)3(x-1)-7=15 d)7(x-4)=2x-3 e) 3(x-2)=4(3-x) f)3(3x-1)=2(3x+2) g)7(x-2)=5(x+3) h) 3(2x-1)=-2(x+3) i)5x-3(x+2)=15 j)2x+3x+9=8(6-x) k) 4(x+10)-2(x-5)=0 l)3(2x+3)-4(x-1)=3 m) 7(x-1)-2(x-5)=x-5 n)2(3-x)=3(x-4)+15

Answer 1

Resposta:

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

Explicação passo-a-passo: