Question

1. Resolva as equações:

Answer 1

Explicação passo-a-passo:

a)

$4x - 1 = 3(x - 1)$

$4x - 1 = 3x - 3$

$4x - 3x = - 3 + 1$

$x = - 2$

b)

$2(x - 1) = 3x + 4$

$2x - 2 = 3x + 4$

$2x - 3x = 4 + 2$

$- x = 6 \: \: \: .( - 1)$

$x = - 6$

c)

$7(x - 4) = 2x - 3$

$7x - 28 = 2x - 3$

$7x - 2x = - 3 + 28$

$5x = 25$

$x = \frac{25}{5}$

$x = 5$

d)

$3(3x - 1) = 2(3x + 2)$

$9x - 3 = 6x + 4$

$9x - 6x = 4 + 3$

$3x = 7$

$x = \frac{7}{3}$

e)

$5x - 3(x + 2) = 15$

$5x - 3x - 6 = 15$

$2x = 15 + 6$

$2x = 21$

$x = \frac{21}{2}$

f)

$3(x - 2) = 2x - 4$

$3x - 6 = 2x - 4$

$3x - 2x = - 4 +6$

$x = 2$

g)

$3(x - 2) - 7 = 15$

$3x - 6 - 7 = 15$

$3x = 15 + 6 + 7$

$3x = 28$

$3x + 4x = 12 + 6$

$x = \frac{28}{3}$

h)

$3(x - 2) = 4(3 - x)$

$3x - 6 = 12 - 4x$

$3x + 4x = 12 + 6$

$7x = 18$

$x = \frac{18}{7}$

i )

$3(2x - 1) = - 2(x + 3)$

$6x - 3 = - 2x - 6$

$6x + 2x = - 6 + 3$

$8x = - 3$

$x = - \frac{3}{8}$

j )

$2x + 3x + 9 = 8(6 - x)$

$2x + 3x + 9 = 48 - 8x$

$2x + 3x + 8x = 48 - 9$

$13x = 39$

$x = \frac{39}{13}$

$x = 3$

Espero ter ajudado !!!

Answer 2

Resposta:

a) 4x-1=3(x-1)

4x-1=3x-3

4x-3x=-3+1

x= -2

b)2(x-1)=3x+4

2x-2=3x+4

2x-3x=4+2

x= 6

c)7(x-4)=2x-3

7x-28=2x-3

7x-2x=-3+28

5x=25

x= 25÷5

x=5

d) 3(3x-1) = 2(3x+2

9x-3=6x+4

9x-6x=4+3

3x=7

x= 7÷3

x= 2,3

e)5x-3x+6=15

2x=15-6

2x= 9

x=9÷2

x= 4,5

f) 3(x-2)=2x-4

3x-6=2x-4

3x-2x=-4+6

x= +2

g)3x-3-7=15

3x=15+3+7

3x=25

x= 25÷ 3

x=8,3

h)3x-6=12-4x

3x+4x= 12+6

7x=18

x=18÷7

x=2,57

i) 6x-3=-2x+6

6x+2x=6+3

8x=9

x=9÷8

x=1,1

j) 2x+3x+9=8(6-x)

2x+3x+9=48-8x

2x+3x+8x=48-9

13x=39

x=39÷13

x= 3

Explicação passo-a-passo:

espero ter ajudado