Question

necesito que me ayuden es para dentro de 30 minutos porfa

Answer 1

Respuesta:

$a)3x + 5 = 5x - 13 \\ 5 + 13 = 5x - 3x \\ 18 = 2x \\ 9 = x$

$b)5(7 - x) = 31 - x \\ 35 - 5x = 31 - x \\ 35 - 31 = - x + 5x \\ 4 = 4x \\ 1 = x$

$c)4(2 - 3x) = - 2x - 27 \\ 8 - 12x = - 2x - 27 \\ 8 + 27 = - 2x + 12x \\ 35 = 10x \\ \frac{35}{10} = x \\ \frac{7}{2} = x$

$d)6x - 8 = 4( - 2x + 5) \\ 6x - 8 = - 8x + 20 \\ 6x + 8x = 20 + 8 \\ 14x = 28 \\ x = 2$

$f)3(4x + 7) = 4x - 25 \\ 12x + 21 = 4x - 25 \\ 12x - 4x = - 25 - 21 \\ 8x = - 46 \\ x = \frac{46}{8} = \frac{23}{4}$

$g)7x + 15 = 3(3x - 7) \\ 7x + 15 = 9x - 21 \\ 15 + 21 = 9x - 7x \\ 36 = 2x \\ 18 = x$

$h) \frac{4x + 1}{3} = \frac{12x - 3}{7} \\ 21( \frac{4x + 1}{3} ) = 21( \frac{12x - 3}{7} ) \\ 7(4x + 1) = 3(12x - 3) \\ 28x + 7 = 36x - 9 \\ 7 + 9 = 36x - 28x \\ 16 = 8x \\ 2 = x$

$i) \frac{2x - 5}{12} = \frac{ - x}{4} - \frac{5}{3} \\ 12( \frac{2x - 5}{12} ) = 12( \frac{ - x}{4} - \frac{5}{3} ) \\ 2x - 5 = - 3x - 20 \\ 2x + 3x = - 20 + 5 \\ 5x = - 15 \\ x = - 3$

$j) \frac{x}{5} + \frac{x}{3} - 1 = \frac{x}{2} \\ 30( \frac{x}{5} + \frac{x}{3} - 1) = 30 \times \frac{x}{2} \\ 6x + 10x - 30 = 15x \\ 16x - 30 = 15x \\ 16x - 15x = 30 \\ x = 30$

$k) \frac{2x + 4}{3} = \frac{x}{6} - 3 \\ 6( \frac{2x + 4}{3} ) = 6( \frac{x}{6} - 3) \\ 2(2x + 4) = x - 18 \\ 4x + 8 = x - 18 \\ 4x - x = - 18 - 8 \\ 3x = - 26 \\ x = - \frac{26}{3}$