Question

ex, 2 daca puteti sa ma ajutati multumesc mult!

Answer 1

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Answer 2

Explicație pas cu pas:

a)

$3(x - 2) + 2(x + 5) = x + 2(1 - x) \\ 3x - 6 + 2x + 10 = x + 2 - 2x \\ 5x + 4 = 2 - x \\ 6x = -2 < = > 3x = - 1 = > x = - \frac{1}{3} \\ = > x = - \frac{1}{3} \: este \: solutie$

b)

$2(x + 1) + 3(x + 2) + 4(x + 3) = 5(x + 4) \\ 2 + 6 + 12 = 20 \\ 20 = 20 = > x = 0 \: este \: solutie$

c)

$\frac{x}{3} - 1 = \frac{2}{5}(x + 1) + 2 \\ x = 15 \\ = > 5 - 1 = \frac{2 \times 16}{5} + 2 \\ 4 = \frac{42}{5} \: \: fals \\ = > x = 15 \: nu \: este \: solutie$

d)

$\frac{x + 1}{2} + \frac{x + 2}{3} + \frac{x + 3}{4} = \frac{x + 4}{5} \\ 30(x + 1) + 20(x + 2) + 15(x + 3) = 12(x + 4) \\ 30x + 30 + 20x + 40 + 15x + 45 = 12x + 48 \\ 65x - 12x = 48 - 115 \\ 53x = - 67 = > x = - \frac{67}{53} \\ = > x = - \frac{67}{53} \: este \: solutie$