Question

Rezolvați în Z ecuatiile​

Answer 1

Răspuns:

$9(x - 2) = - 63 \\ x - 2 = \frac{ - 63}{9} \\ x - 2 = - 7 \\ x = - 7 + 2 \\ x = - 5$

$5(x + 3) = 2(5x - 5) \\ 5x + 15 = 2(5x - 5) \\ 5x + 15 = 10x - 10 \\ 5x + 15 - 10x = - 10 \\ - 5x + 15 = - 10 \\ - 5x = - 10 - 15 \\ - 5x = - 25 \\ x = \frac{ - 25}{ - 5} \\ x = 5$

$2(4x + 1) = 2(5x - 7) \\ 4x + 1 = 5x - 7 \\ 4x + 1 - 5x = - 7 \\ - x + 1 = - 7 \\ - x = - 7 - 1 \\ - x = - 8 \\ x = 8$

$2( - x + 5) = - 8(3x + 2) + 56 \\ 2( - x) + 10 = - 8(3x + 2) + 56 \\ 2( - x) + 10 = - 24x - 16 + 56 \\ 2( - x) + 10 = - 24x + 40 \\ 2( - x) + 24x = 40 \\ 2( - x) + 24x = 40 - 10 \\ 2( - x) + 24x - 30 \\ - 2x + 24x = 30 \\ 22x = 30 \\ x = \frac{30}{22} \\ x = \frac{15}{11}$