Question

$\frac{5x - 7 }{2} = \frac{1}{2} + x$

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

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

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

$\frac{3(x - 5)}{6} + \frac{2x}{4} = 7$

$\frac{x}{5} - 2 = \frac{5(x - 3)}{4}$
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Answer 1

5x/2-7/2=1/2+x/1
5x/2-7/2=1/2+2x/2
5x-x=7+1
4x=8
X=2
2x/3-1/3=x/1-x/5-1/5
10x/15-5/15=15x/15-3x/15-3/15
-5-3=-10x+15x-3x
-8=2x
-4=x
X/4+3x/2-2/2=x/2-3/2
X/4+6x/4-4/4=2x/4-6/4
X+6x-x=4-6
6x=-2
X=-2/6
2/3(x/3-1/3)=3x/5+6/5
10/15(5x/15-5/15)=9x/15+18/15
10-5-18=-5x+9x
-13=4x
-13/4=x
3/6(x/6-5/6)+2x/4=7/1
6/12(2x/12-10/12)+6x/4=84/12
6(-10)-84=-2x-6x
-88=-8x.(-1)
88=8x
X/5-2/1=5/4(x/4-3/4)
4x/20-40/20=25/20(5x/20-15/20)
-40+15-25=5x-4x
-50=x

Answer 2

Resposta:

Explicação passo-a-passo:

a)

(5x - 7)/2 = 1/2 + x

5x - 7 = 2(1/2 + x)

5x - 7 = 2/2 + 2x

5x - 7 = 1 + 2x

5x - 2x = 1 + 7

3x = 8

x = 8/3

b)

(2x-1)/3 = x - (x-1)/5

(2x - 1)/3 = (5x - x + 1)/5

(2x - 1)/3 = (4x + 1)/5

5.(2x - 1) = 3.(4x + 1)

10x - 5 = 12x + 3

- 5 - 3 = 12x - 10x

- 8 = 2x

2x = - 8

x = - 8/2

x = - 4

c)

x/4 + (3x -2)/2 = (x-3)/2

[x + 2.(3x-2)]/4 = [2.(x-3)]/4

x + 6x - 4 = 2x - 6

7x - 4 = 2x - 6

7x - 2x = - 6 + 4

5x = - 2

x = - 2/5

d)

2(x-1)/3 = (3x+6)/5

[2x-2]/3 = (3x+6)/5

5.(2x-2) = 3.(3x+6)

10x-10= 9x + 18

10x - 9x = 18+10

x = 28

e)

3(x-5)/6 + 2x/4 = 7

(x-5)/2 + x/2 = 7

[(x-5) + x]/2 = 7

x-5+x= 7.2

2x - 5 = 14

2x = 14+5

2x = 19

x = 19/2

f)

x/5 - 2 = 5.(x-3)/4

4.(x/5 - 2) = 5x - 15

4x/5 - 8 = 5x - 15

15 - 8 = 5x - 4x/5

7 = (25x - 4x)/5

7.5 = 21x

35 = 21x

21x = 35

x = 35/21 (:7)/(:7)

x = 5/3