Question

Calcule as equações:

a) 3(3x+4)=4(x+6)

b) 5/2x-1/4=8

c) y/3+y/2+1=5/6+y

Answer 1

a) 3(3x + 4) = 4(x + 6)
   9x + 12 = 4x + 24
   9x - 4x = 24 - 12
        5x = 12
          x = 12/5

b) 5/2x-1/4=8

mmc = 4x
   5.2 - 1.x = 32x
   10 - x = 32x
   10 = 32x + x
   10 = 33x
   x = 10/33

c) y/3 + y/2 + 1 = 5/6 + y

mmc = 6

2y + 3y + 6 = 5 + 6y
2y  + 3y  + 6 = 5 + 6y
   5y + 6 = 5 + 6y
   5y - 6y = 5 - 6
     -y = -1
       y = 1

Answer 2

Olá, bom dia ☺

Resoluções:

a)

3(3x+4)=4(x+6)
9x+12=4x+24
9x-4x=24-12
5x=12
x=12/5

b)

5/2x - 1/4=8/1
5/2x=8/1+1/4
5/2x=33/4

Multiplica em cruz:

66x=20
x=20/66: 2/2=10/33
x=10/33

c)

y/3+y/2+1/1=5/6+y/1

m.m.c.(2,3,6)=6

(2y+3y+6)/6=(5+6y)/6

Elimina-se o denominador 6.

2y+3y+6=5+6y
2y+3y - 6y=5-6
5y-6y=5-6
-y=-1
y=1

Bons estudos :)