Question

Qual é a resposta desta equação fracionária?

Answer 1

Resposta:

$x = \frac{7}{2}$

Explicação passo-a-passo:

$\frac{3x - 1}{2} - \frac{4x + 2}{4} - \frac{2x - 4}{3} = \frac{x - 5}{6}$

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

$12 \times \frac{3x - 1}{2} - 12 \times \frac{4x + 2}{4} - 12 \times \frac{2x - 4}{ 3} = 12 \times \frac{x - 5}{6}$

$12 \times \frac{3x -1 }{2} - 12 \times \frac{4x + 2}{4} - 12 \times \frac{2x - 4}{ 3} = 2(x - 5)$

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

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

$6(3x - 1) - 3(4x + 2) - 4(2x - 4) = 2(x - 5)$

$18x - 6 - 3(4x + 2) - 4(2x - 4) = 2(x - 5)$

$18x - 6 - 12x - 6 - 4(2x - 4) = 2(x - 5)$

$18x - 6 - 12 x - 6 - 8x + 16 = 2(x - 5)$

$18x - 6 - 12x - 6 - 8x + 16 = 2x - 10$

$- 2x - 6 - 6 + 16 = 2x - 10$

$- 2x + 4 = 2x - 10$

$- 2x - 2x + 4 = - 10$

$- 2x - 2x = - 10 - 4$

$- 4x = - 10 - 4$

$- 4x = - 14$

$x = \frac{7}{2}$