Question

Calcule as seguintes equações

Answer 1

Explicação passo-a-passo:

1)

$a) \frac{2(x - 1)}{3} + \frac{3(2x + 1)}{9} = 9 \\ \\ \frac{2(x - 1) + (2x + 1)}{3} = 9 \\ \\ 2x - 2 + 2x + 1 = 3 \times 9 \\ 4x - 1 = 27 \\ 4x = 27 + 1 \\ 4x = 28 \\ x = \frac{28}{4} \\ \\ x = 7$

$b) \frac{x + 8}{5} + \frac{x + 2}{2} = 4 \\ \\ \frac{2(x + 8) + 5(x + 2)}{5 \times 2} = 4 \\ \\ \frac{2x + 16 + 5x + 10}{10} = 4 \\ \\ 7x + 26 = 10 \times 4 \\ 7x = 40 - 26 \\ 7x = 14 \\ x = \frac{14}{7} \\ \\ x = 2$

$c) \frac{x - 2}{3} + \frac{x - 3}{2} = \frac{x + 5}{5} \\ \\ \frac{10(x - 2) + 15(x - 3) = 6(x + 5)}{3 \times 2 \times 5} \\ \\ \frac{10x - 20 + 15x - 45 = 6x + 30}{30} \\ \\ 10x + 15x - 6x = 30 + 20 + 45 \\ 19x = 95 \\ x = \frac{95}{19} \\ \\ x = 5$

$d) \frac{x + 2}{4} + \frac{x + 3}{5} = 2 \\ \\ \frac{5(x + 2) + 4(x + 3)}{4 \times 5} = 2 \\ \\ 5x + 10 + 4x + 12 = 20 \times 2 \\ 9x + 22 = 40 \\ 9x = 40 - 22 \\ 9x = 18 \\ x = \frac{18}{9} \\ \\ x = 2$

$e) \frac{x - 1}{4} - \frac{x - 3}{5} = \frac{1 - 2x}{20} \\ \\ \frac{5(x - 1) - 4(x - 3) = 1 - 2x}{20} \\ \\ 5x - 5 - 4x + 12 = 1 - 2x \\ x + 7 = 1 - 2x \\ x + 2x = 1 - 7 \\ 3x = - 6 \\ x = \frac{ - 6}{3} \\ \\ x = - 2$

$f) \frac{x - 5}{6} + \frac{2 - x}{3} - \frac{x - 6}{5} = - 3 \\ \\ \frac{5(x - 5) + 10(2 - x) - 6(x - 6)}{30} = - 3 \\ \\ 5x - 25 + 20 - 10x - 6x + 36 = - 3 \times 30 \\ - 11x + 31 = - 90 \\ - 11x = - 90 - 31 \\ - 11x = - 121 \\ x = \frac{ - 121}{ - 11} \\ \\ x = 11$

$g) \frac{x}{2} + \frac{x}{6} = 7 \\ \\ \frac{3x + x}{6} = 7 \\ \\ 4x = 6 \times 7 \\ 4x = 42 \\ x = \frac{42}{4} \\ \\ x = \frac{21}{2}$

$h) \frac{3x + 9}{4} - \frac{5x + 16}{7} = 0 \\ \\ \frac{3x + 9}{4} = \frac{5x + 16}{7} \\ \\ \frac{7(3x + 9) = 4(5x + 16)}{4 \times 7} \\ \\ \frac{21x + 63 = 20x + 64}{28} \\ \\ 21x - 20x = 64 - 63 \\ x = 1$

Answer 2

Resposta:

as respostas estão nas fts ok?

Explicação passo-a-passo:

espero ter ajudado<3