Question

Calcule as raízes das equações abaixo

a) 9x-2=4x+18
b) x/5+x/3=8
c) x/2+x/3+x/4=13
d) x+3/4+x+1/6=3
e)2(x-1)/3+3(2x+1)/9=9

Answer 1

Explicação passo-a-passo:

a) 9x-2=4x+18

9x-2=4x+18

9x-4x=18+2

5x=20

x=20/5

x=4

b) x/5+x/3=8

(5x+3x)/(3.5)=8

8x/15=8

8x=8.(15)

x=8/8.(15)

x=1.(15)

x =15

c) x/2+x/3+x/4=13

mmc:

2,3,4/2

1,3,2/2

1,3,1/3

1,1,1///

mmc(2,3,4)=12

6x +4x +3x= 13.(12)

10x+3x= 13.(12)

13x=13.(12)

x=13/13.(12)

x= 1.(12)

x= 12

d) x+3/4+x+1/6=3

mmc:

4,6/2

2,3/2

1,3/3

1,1///

mmc(4,6)=12

12x+9+12x+2x=12.(3)

12x+12x+2x+9=36

24x+2x=36-9

26x= 27

x=27/26

e)2(x-1)/3+3(2x+1)/9=9

2.(x-1)/3+(2x+1)/3=9

[2.(x-1)+(2x+2)]/3=9

[2x-2+2x+2]=3.(9)

2x+2x= 27

4x= 27

x= 27/4