Question

i) si j) exercițiul 4.

Answer 1

$i) \frac{5x - 7}{2} - \frac{2x + 7}{3} = 3x - 14 \: | \times 6$

$3(5x - 7) - 2(2x + 7) = 18x - 84$

$15x - 21 - 4x - 14 = 18x - 84$

$15x - 4x - 18x = - 84 + 21 + 14$

$- 7x = - 49 \: | \div ( -7)$

$x = 7$

$j) \frac{3x + 1}{5} - \frac{x - 6}{2} = \frac{2x + 5}{5} + \frac{16}{5} \: | \times 10$

$2(3x + 1) - 5(x - 6) = 2(2x + 5) + 32$

$6x + 2 - 5x + 30 = 4x + 10 + 32$

$6x - 5x - 4x = 10 + 32 - 2 - 30$

$- 3x = 10 \: | \times ( - 1)$

$3x = - 10$

$x = - \frac{10}{3}$