Question

Lo necesito para mañana, ayuda xd​

Answer 1

Respuesta:

$a) \frac{4x + 2}{5} - \frac{4x}{3} = \frac{2(x + 13)}{15} \\ 15( \frac{4x + 2}{5} - \frac{4x}{3} ) = 15 \times \frac{2(x + 13)}{15} \\ 3(4x + 2) - 5 \times 4x = 2(x + 13) \\ 12x + 6 - 20x = 2x + 26 \\ - 8x + 6 = 2x + 26 \\ 6 - 26 = 2x + 8x \\ - 20 = 10x \\ \frac{ - 20}{10} = x \\ - 2 = x$

$b) \frac{3x + 5}{2} + \frac{4x - 5}{5} = \frac{7x + 1}{6} + 7 \\ 30( \frac{3x + 5}{2} + \frac{4x - 5}{5} ) = 30( \frac{7x + 1}{6} + 7) \\ 15(3x + 5) + 6(4x - 5) = 5(7x + 1) + 30 \times 7 \\ 45x + 75 + 24x - 30 = 35x + 5 + 210 \\ 69x + 40 = 35x + 215 \\ 69x - 35x = 215 - 40 \\ 34x =17 5 \\ x = \frac{175}{34}$

$c) \frac{9x - 1}{7} - \frac{5x + 8}{4} = x - 6 \\ 28( \frac{9x - 1}{7} - \frac{5x + 8}{4} ) = 28(x - 6) \\ 4(9x - 1) - 7(5x + 8) = 28(x - 6) \\ 36x - 4 - 35x - 56 = 28x - 168 \\ x - 60 = 28x - 168 \\ - 60 + 168 = 28x - x \\ 108 = 27x \\ \frac{108}{27} = x \\ 4 = x$

$d)5x - \frac{2x + 1}{3} = 2x + \frac{15x - 9}{6} \\ 6(5x - \frac{2x + 1}{3} ) = 6(2x + \frac{15x - 9}{6} ) \\ 6 \times 5x - 2(2x + 1) = 6 \times 2x + (15x - 9) \\ 30x - 4x - 2 = 12x + 15x - 9 \\ 26x - 2 = 27x - 9 \\ - 2 + 9 = 27x - 26x \\ 7 = x$

$e) \frac{4(3x + 6)}{5} + 12 = \frac{3(2x + 6)}{2} + 2x \\ 10 \times (\frac{4(3x + 6)}{5} + 12) = 10 \times ( \frac{3(2x + 6)}{2} + 2x) \\ 2 \times 4(3x + 6) + 10 \times 12 = 5 \times 3(2x + 6) + 10 \times 2x \\ 2(12x + 24) + 10 \times 12 = 5(6x + 18) + 10 \times 2x \\ 24x + 48 + 120 = 30x + 90 + 20x \\ 24x + 168 = 50x + 90 \\ 168 - 90 = 50x - 24x \\ 78 = 26x \\ \frac{78}{26} = x \\ 3 = x$

$f) \frac{8 - 4x}{4} + 2(5x + 8) = \frac{3(4x + 6)}{6} + 2(10x + 1) \\ \frac{8 - 4x}{4} + 10x + 16 = \frac{3(4x + 6)}{6} + 20x + 2 \\ 12( \frac{8 - 4x}{4} + 10x + 16 ) = 12( \frac{3(4x + 6)}{6} + 20x + 2 ) \\ 3(8 - 4x) + 12 \times 10x + 12 \times 16 = 2 \times 3(4x + 6) + 12 \times 20x + 12 \times 2 \\ 24 - 12x + 120x + 192 = 2 \times (12x + 12) + 240x + 24 \\ 24 - 12x + 120x + 192 = 24x + 24 + 240x + 24 \\ 216 + 108x = 264x + 48 \\ 216 - 48 = 264x - 108x \\ 168 = 156x \\ \frac{168}{156} = x \\ \frac{14}{13} = x$

$g) \frac{7(2x + 6)}{7} - \frac{4(2x + 8)}{6} = 4 \\ 42 \times ( \frac{7(2x + 6)}{7} - \frac{4(2x + 8)}{6} ) = 4 \times 42 \\ 6 \times 7(2x + 6) - 7 \times 4(2x + 8) = 168 \\ 6(14x + 42) - 7(8x + 32) = 168 \\ 84x + 252 - 56x - 224 = 168 \\ 28x + 28 = 168 \\ 28x = 168 - 28 \\ 28x = 140 \\ x = \frac{140}{28} \\ x = 5$

$h) \frac{2(7x + 5)}{4} - \frac{3(x + 2)}{3} = 4x + 2 \\ 12 \times ( \frac{2(7x + 5)}{4} - \frac{3(x + 2)}{3} ) = 12(4x + 2) \\ 3 \times 2(7x + 5) - 4 \times 3(x + 2) = 12(4x + 2) \\ 3(14x + 10) - 4(3x + 6) = 12(4x + 2) \\ 42x + 30 - 12x - 24 = 48x + 24 \\ 30x + 6 = 48x + 24 \\ 6 - 24 = 48x - 30x \\ - 18 = 18x \\ \frac{ - 18}{18} = x \\ - 1 = x$