Question

Resolva as equações.

a)
$\frac{x}{2} - \frac{x - 1}{2} = x - 2$
b)
$- \frac{1}{2} (x - 1) = x$

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Answer 1

Olá,

$\frac{x}{2} - \frac{x - 1}{2} = x - 2$

$\frac{x - (x - 1)}{2} = x - 2$

$\frac{x - x + 1}{2} = x - 2$

$\frac{1}{2} = x - 2$

$1 = 2x - 4$

$2x = 1 + 4$

$2x = 5$

$x = \frac{5}{2}$

b)

$- \frac{1}{2} (x - 1) = x$

$x - 1 = - 2x$

$x + 2x = 1$

$3x = 1$

$x = \frac{1}{3}$