Question

1) Resolva as equações de primeiro grau abaixo:

a) X/5 + 2 = 3X - 26

b) 2X/3 - 3 = 5X/4

c) -3/5 + 5X/4 = 2X + 1/2

Ajudem por favor!!!

Answer 1

$\frac{x}{5} + 2 = 3x - 26 \\ \frac{x + 10 = 15x - 130}{5} \\ x + 10 = 15x - 130$

$x - 15x = - 130 - 10 \\ - 14x = - 140 \times ( - 1) \\ 14x = 140 \\ x = \frac{140}{14} \\ x = 10$

$\frac{2x}{3} - 5 = \frac{5x}{4} \\ \frac{8x - 60 = 15x}{12} \\ 8x - 60 = 15x$

$8x - 15x = 60 \\ - 7x = 60 \times ( - 1) \\ 7x = - 60 \\ x = - \frac{60}{7}$

c)

$- \frac{3}{5} + \frac{5x}{4} = 2x + \frac{1}{2} \\ \frac{ - 12 + 25x = 40x + 10}{20} \\ - 12 + 25x = 40x + 10$

$25x - 40x = 10 + 12 \\ - 15x = 22 \times ( - 1) \\ 15x = - 22 \\ x = - \frac{22}{15}$