Question

a) x /2 - x/4 = 1 /2
b) x/2 - x/4 = 5
c) x/5 + x/2 = 7/10
d) x/5 + 1 = 2x/3
e) x/2 + x/3 = 1
f) x/3 + 4 = 2x
g) x/2 + 4 = 1/3​

alguem ajuda aqui pfv​

Answer 1

Resposta:

Explicação passo-a-passo:

a) x /2 - x/4 = 1 /2   (mmc entre 2 e 4 = 4)

2x - x = 2              x = 2

b) x/2 - x/4 = 5      (mmc entre 2, 4 e 5 = 20)

10x - 5x = 100        5x = 100       x = 100/5     x = 20

c) x/5 + x/2 = 7/10     (mmc entre 2, 5 e 10 = 20)

4x + 10x = 14       14x = 14       x = 14/14     x = 1

d) x/5 + 1 = 2x/3      (mmc entre 3 e 5 = 15)

3x + 15 = 10x      3x - 10x = - 15     -7x = -15 (-)    x = 15/7

e) x/2 + x/3 = 1      (mmc entre 2 e 3 = 6)

3x + 2x = 6        5x = 6       x= 6/5

f) x/3 + 4 = 2x

x + 12 = 6x           x - 6x = -12       -5x = - 12 (-)     x = 12/5

g) x/2 + 4 = 1/3​    (mmc entre 2 e 3 = 6)

3x + 24 = 2        3x = 2 - 24       3x = -22         x = -22/3

Answer 2

Oie, Td Bom?!

a)

$\frac{x}{2} - \frac{x}{4} = \frac{1}{2}$

$4( \frac{x}{2} - \frac{x}{4} ) = 4 \: . \: \frac{1}{2}$

$4 \: . \: \frac{x}{2} - 4 \: . \: \frac{x}{4} = 2$

$2x - x = 2$

$x = 2$

b)

$\frac{x}{2} - \frac{x}{4} = 5$

$4( \frac{x}{2} - \frac{x}{4} ) = 4 \: . \: 5$

$4 \: . \: \frac{x}{2} - 4 \: . \: \frac{x}{4} = 20$

$2x - x = 20$

$x = 20$

c)

$\frac{x}{5} + \frac{x}{2} = \frac{7}{10}$

$10( \frac{x}{5} + \frac{x}{2} ) = 10 \: . \: \frac{7}{10}$

$10 \: . \: \frac{x}{5} + 10 \: . \: \frac{x}{2} = 7$

$2x + 5x = 7$

$7x = 7$

$x = \frac{7}{7}$

$x = 1$

d)

$\frac{x}{5} + 1 = \frac{2x}{3}$

$15( \frac{x}{5} + 1) = 15 \: . \: \frac{2x}{3}$

$15 \: . \: \frac{x}{5} + 15 = 5 \: . \: 2x$

$3x + 15 = 10x$

$3x - 10x = - 15$

$- 7x = - 15 \: . \: ( - 1)$

$7x = 15$

$x = \frac{15}{7}$

e)

$\frac{x}{2} + \frac{x}{3} = 1$

$6( \frac{x}{2} + \frac{x}{3} ) = 6 \: . \: 1$

$6 \: . \: \frac{x}{2} + 6 \: . \: \frac{x}{3} = 6$

$3x + 2x = 6$

$5x = 6$

$x = \frac{6}{5}$

f)

$\frac{x}{3} + 4 = 2x$

$3( \frac{x}{3} + 4) = 3 \: . \: 2x$

$3 \: . \: \frac{x}{3} + 3 \: . \: 4 = 6x$

$x + 12 = 6x$

$x - 6x = - 12$

$- 5x = - 12 \: . \: ( - 1)$

$5x = 12$

$x = \frac{12}{5}$

g)

$\frac{x}{2} + 4 = \frac{1}{3}$

$6( \frac{x}{2} + 4) = 6 \: . \: \frac{1}{3}$

$6 \: . \: \frac{x}{2} + 6 \: . \: 4 = 2$

$3x + 24 = 2$

$3x = 2 - 24$

$3x = - 22$

$x = - \frac{22}{3}$

Att. Makaveli1996