Question

resolva as expressões:
a) 2x-10+3x-8
b)2.(x1-3)+5.(2x-5)
c)10-8.(x-3)+4-5y
d)12+8-4.(5-3x)+2x
e)-9y+4.(y-2)+4-5y
f)2.(x-4)+8x-2.(x+5x)
g)14x-(x-3)+4.(x-2)​

Answer 1

Explicação passo-a-passo:

a)

$2x - 10 + 3x - 8 = 0 \\ 2x + 3x = 8 + 10 \\ 5x = 18 \\ x = \frac{18}{5}$

b)

$2(x - 3) + 5(2x - 5) = 0\\ 2x - 6 + 10x - 25 = 0 \\ 12x = 25 + 6 \\ 12x = 31 \\ x = \frac{31}{12}$

c)

$10 - 8(x - 3) + 4 - 5x = 0\\ 10 - 8x + 24 + 4 - 5x = 0 \\ 13x = 38 \\ x = \frac{38}{13}$

O Y acredito que seria o X na letra C.

d)

$12 + 8 - 4(5 - 3x) + 2x = 0 \\12 + 8 - 20 + 12x + 2x = 0 \\ 14x = 20 - 8 - 12 \\ 14x = 0 \\ x = \frac{0}{14} \\ x = 0$

e)

$- 9y + 4(y - 2) + 4 - 5y = 0 \\ - 9y + 4y - 8 + 4 - 5y = 0 \\ 9y - 4y + 5y = 8 - 4 \\ 10y = 4 \\ y = \frac{4}{10} = \frac{2}{5}$

f)

$2(x - 4) + 8x - 2(x + 5x) = 0 \\ 2x - 8 + 8x - 2x - 10x = 0 \\ 10x + 2x - 2x - 8x = 8 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4$

g)

$14x - (x - 3) + 4(x - 2) = 0\\ 14x - x + 3 + 4x - 8 = 0 \\ 14x + 4x - x = 8 - 3 \\ 17x = 5 \\ x = \frac{5}{17}$

Bons estudos....