Question

gente me ajuda por favor nessa questão por favor....

Answer 1

Resposta:

a)

$-3 (3x - 42) = 2(7x - 52) \\ - 9x + 126 = 14x - 104 \\ 126 + 104 = 14x + 9x \\ 230 = 23x \\ \\ x = \frac{230}{23} \\ \\ x = 10$

b)

$\frac{x}{2} + \frac{1 - x}{5} = \frac{1}{2} \\ \\ \frac{5x + 2(1 - x) = 5}{10} \\ \\ 5x + 2 - 2x = 5 \\ 3x = 5 - 2 \\ 3x = 3 \\ \\ x = \frac{3}{3} \\ \\ x = 1$

c)

$\frac{x + 3}{2} + \frac{x + 2}{ 3} = \frac{ - 1}{2} \\ \\ \frac{3(x + 3) + 2(x + 2) = - 3}{6} \\ \\ 3x + 9 + 2x + 4 = - 3 \\ 5x = - 3 - 9 - 4 \\ 5x = - 16 \\ \\ x = - \frac{ 16}{5}$

d)

$\frac{3 + x}{2} - (1 - x) = \frac{x - 1}{4} \\ \\ \frac{4(3 + x) - 8(1 - x) = 2(x - 1)}{8} \\ \\ 12 + 4x - 8 + 8x = 2x - 2 \\ 12x - 2x + 4= - 2 \\ 10x = - 2 - 4 \\ 10x = - 6 \\ \\ x = \frac{ - 6 \div 2}{10 \div 2} \\ \\ x = - \frac{3}{5}$

e)

$\frac{3x - 1}{2} - \frac{ - 4 x + 2}{2} - \frac{2x - 4}{3} = \frac{x - 5}{6} \\ \\ \frac{9(3x - 1) - 9(4x + 2) - 6(2x - 4) = 3(x - 5)}{18} \\ \\ 27x - 9 - 36x - 18 - 12x + 24 = 3x - 15 \\ - 21x - 3 + 15 = 3x \\ 12 = 3x + 21x \\ 12 = 24x \\ \\ x = \frac{12 \div 12}{24 \div 12} \\ \\ x = \frac{1}{2}$

f)

$\frac{2(x - 1)}{3} + 3 \frac{(1 + x)}{2} = \frac{1}{2} - \frac{x - 1}{3} \\ \\ \frac{4(x - 1) + 9(1 + x) = 3 - 2(x - 1)}{6} \\ \\ 4x - 4 + 9 + 9x = 3 - 2x + 2 \\ 13x + 2x + 5 = 5 \\ \\ 15x = 5 - 5 \\ \\ 15x = 0 \\ \\ x = \frac{0}{15} \\ \\ x = 0$

Bons Estudos!