Question

1)Resolva as Equações:

a) 7x-8=4x+10

b) 3x-7= -x+13

c)3x-4=5x-10

d)7(x-5) =3(x+3)

e) 3x/4 - x/3 = 5

f) 6x/2 - 7/2 = 4x/10 - 1/2​

Answer 1

Resposta:

a) 7x-8=4x+10

7x - 4x = 10+8

3x = 18

x = 18/3

x = 6

b) 3x-7= -x+13

3x + x = 13 + 7

4x = 20

x = 20/4

x = 5

c)3x-4=5x-10

3x - 5x = -10 + 4

-2x = -6 |×(-1)

2x = 6

x = 6/2

x = 3

d)7(x-5) =3(x+3)

7x - 35 = 3x + 3

7x - 3x = 3 + 35

4x = 38

x = 38/4

e) 3x/4 - x/3 = 5

$\frac{3x}{4(3)} - \frac{x}{3(4)} = \frac{5}{1(12)} \\ 9x - 4x = 60 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12$

f) 6x/2 - 7/2 = 4x/10 - 1/2

$f) \frac{6x}{2(5)} - \frac{7}{2(5)} = \frac{4x}{10(1)} - \frac{1}{2(5)} \\ 30x - 35 = 4x - 5 \\ 30x - 4x = - 5 + 35 \\ 26x = 30 \\ x = \frac{30 \div 2}{26 \div 2} = \frac{15}{13}$