Question

12 -Efetue
a) x/6+ 1/12=1/4
b) x+x/3=8
c) x/6-1/3=1/2
d) x/3-1=x/4​

Answer 1

Resposta:

a) 1

b) 6

c) 5

d) 12

Explicação passo-a-passo:

a)x/6+ 1/12=1/4

$\frac{x}{6}+ \frac{1}{12}=\frac{1}{4}\\\\\frac{x}{6}+ \frac{1}{12}-\frac{1}{4}=0\\\\\frac{x\cdot2}{6\cdot2}+ \frac{1}{12}-\frac{1\cdot3}{4\cdot3}=0\\\\\frac{2x}{12}+ \frac{1}{12}-\frac{3}{12}=0\\\\\frac{2x+1-3}{12}=0\\\\\frac{2x-2}{12}=0\\\\2x-2=0\cdot12\\2x-2=0\\2x=2\\\\x=\frac{2}{2}\\\\\fbox{x = 1}$

b)x+x/3=8

$x+\frac{x}{3}=8\\\\(3)x+(3)\frac{x}{3}=(3)8\\\\3x+x=24\\4x=24\\\\x=\frac{24}{4}\\\\\fbox{x = 6}$

c)x/6-1/3=1/2

$\frac{x}{6}-\frac{1}{3}=\frac{1}{2}\\(6)\frac{x}{6}-\frac{1}{3}(6)=(6)\frac{1}{2}\\x-2=3\\x=3+2\\\\\fbox{x = 5}$

d)x/3-1=x/4​

$\frac{x}{3}-1=\frac{x}{4}\\\\(12)\frac{x}{3}-12=(12)\frac{x}{4}\\\\4x-12=3x\\4x-3x=12\\\\\fbox{x = 12}$

Answer 2

Oi....

Resolução

a)

x/6 +  1/12 = 1/4 ⇒mmc de 6, 12, 4 = 12

2x + 1 = 3

2x = 3 - 1

2x = 2

x = 2/2

x = 1

b)

x + x/3 = 8⇒mmc = 3

3x + x = 24

4x = 24

x = 24/4

x = 6

c)

x/6 - 1/3 = 1/2⇒mmc de 6, 3, 2 = 6

x - 2 = 3

x = 3 + 2

x = 5

d)

x/3 - 1 = x/4⇒mmc de 3, 1, 4 = 12

4x - 12 = 3x

4x - 3x = 12

x = 12

Espero ter ajudado.​