Question

Calcule o valor de x nas equações dadas:

3/x - 4/5x =1/10
2x + 1/5 - x/10 = 1/2 + 8/5



as / são pra ajudar, pra indentificar as frações me ajudem!​

Answer 1

Explicação passo-a-passo:

1)

$\dfrac{3}{x} - \dfrac{4}{5x} = \dfrac{1}{10}$

$\dfrac{5 \times 3}{5x} = \dfrac{4}{5x}$

$\dfrac{5 \times 3}{5x} - \dfrac{4}{5x} = \dfrac{1}{10}$

$\dfrac{15}{5x} - \dfrac{4}{5x} = \dfrac{1}{10}$

$\dfrac{15 - 4}{5x} = \dfrac{1}{10}$

$\dfrac{11}{5x} = \dfrac{1}{10}$

$5x \times 1 = 11 \times 10$

$5x = 110$

$x = \dfrac{110}{5}$

$x = 22$

2)

$2x + \dfrac{1}{5} - \dfrac{x}{10} = \dfrac{1}{2} + \dfrac{8}{5}$

$2x + \dfrac{1}{5} - \dfrac{x}{10} = \dfrac{5 + 16}{10}$

$2x + \dfrac{1}{5} - \dfrac{x}{10} = \dfrac{21}{10}$

$20x + 2 - x = 21$

$19x = 21 - 2$

$19x = 19$

$x = \dfrac{19}{19}$

$x = 1$