Question

resolva as equações:

a) 7(×-2) =5(× + 3)

b) 2(×-5) +4(×-1) =0

c) 3(2×-1) = -2(×+3)

d) 7(× -1) - 2(× -5) =× - 5​

Answer 1

Oie, Td Bom?!

a)

7(x - 2) = 5(x + 3)

7x - 14 = 5x + 15

7x - 5x = 15 + 14

2x = 29

x = 29/2 ou x = 14,5

b)

2(x - 5) + 4(x - 1) = 0

2x - 10 + 4x - 4 = 0

6x - 14 = 0

6x = 14

x = 14/6

x = [14 ÷ 2]/[6 ÷ 2]

x = 7/3 ou x ≈ 2,333...

c)

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

6x - 3 = - 2x - 6

6x + 2x = - 6 + 3

8x = - 3

x = - 3/8 ou x = - 0,375

d)

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

7x - 7 - 2x + 10 = x - 5

5x + 3 = x - 5

5x - x = - 5 - 3

4x = - 8

x = - 8/4

x = - 2

Att. Makaveli1996

Answer 2

$ola!$

$Questao \ letra\ a)$

$7(x-2) =5(x + 3)\\7x-14=5x+15\\7x-5x+15+14\\2x=29 \\\boxed{x=29:2=14,5}$

$Questao\ letra\ b)$

$2(x-5) +4(x-1) =0\\\\2x-10+4x-4=0\\6x-14=0\\6x=14\\\boxed{x=14:6=7:3 \ ou\ 2.333..}$

$Questao \ letra\ c)$

$3(2x-1) = -2(x+3)\\6x-3=-2x-6\\6x+2x=-6+3\\8x=-3\\\boxed{x=-3:8 \ ou\ -0,375}$

$Questao\ letra\ d)$

$7(x -1) - 2(x -5) =x - 5​\\7x-7-2x+10=x-5\\5x+3=x-5\\\\\\troca \ de \ lado \ 4x=-8 \\ \boxed{x=-8:4= -2}$

$Bons \ estudos \ e \ qualquer \ duvida \ entre \ em \ contato!$