Question

Resolva as equações de 1° grau
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Answer 1

Resposta:

$d) \: \frac{2x}{5} + \frac{1}{2} - \frac{x}{4} = - 8 + x \\ \\ \frac{8x + 10 - 5x = - 160 + 20x}{20} \\ \\ 8x + 10 - 5x = - 160 + 20x \\ 3x + 10 = - 160 + 20x \\ 3x + 10 - 20x = - 160 \\ 3x - 20x = - 160 - 10 \\ - 17x = - 170 \times ( - 1) \\ 17x = 170 \div (17) \\ x = 10$

$e) \: \frac{x + 1}{3} - \frac{2 + x}{4} = 1 \\ \\ \frac{4 \times (x + 1) - 3 \times (2 + x) = 12}{12} \\ \\ 4 \times (x + 1) - 3 \times (2 + x) = 12 \\ 4x + 4 - 6 - 3x = 12 \\ x - 2 = 12 \\ x = 12 + 2 \\ x = 14$

$f) \: \frac{2x}{5} - \frac{x - 1}{6} + 7 = \frac{21 + x}{3} + 1 \\ \\ \frac{12x - 5 \times (x - 1) + 210 = 10 \times (21 + x) + 30}{30} \\ \\ 12x - 5 \times (x - 1) + 210 = 10 \times (21 + x) + 30 \\ 12x - 5x + 5 + 210 = 210 + 10x + 30 \\ 7x + 215 = 10x + 240 \\ 7x + 215 - 10x = 240 \\ 7x - 10x = 240 - 215 \\ - 3x = 25 \\ \\ x = - \frac{25}{3}$