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7. Rezolvă în Z ecuaţiile: a) 9(x-2)=63; c) 2(4x+1)=2(5x-7); e)-4-(6-[-3+ (-3) + (-5-x)-7] - 9} = 1; b) 5(x+3)=2(5x-5); d) 2(-x+5)=-8(3x+2)+4; f) -10.{-2-2. [(-4)5: 44-2]}=-2x​

Răspuns :

D924917

a) 9(x-2) = 63

9x - 18 = 63

9x = 63 + 18

9x = 81

x = 81 / 9

x = 9

c) 2(4x + 1) = 2(5x - 7)

8x + 2 = 10x - 14

8x - 10x = -14 - 2

-2x = -16

x = -16 / -2

x = 8

e) -4 - (6 - [-3 + (-3) + (-5 - x) - 7] - 9) = 1

-4 - (6 - [-3 - 3 - 5 + x - 7] - 9) = 1

-4 - (6 - [-8 + x - 7] - 9) = 1

-4 - (6 - [-15 + x]) - 9 = 1

-4 - (6 + 15 - x) - 9 = 1

-4 - 21 + x - 9 = 1

x - 34 = 1

x = 1 + 34

x = 35

b) 5(x + 3) = 2(5x - 5)

5x + 15 = 10x - 10

5x - 10x = -10 - 15

-5x = -25

x = -25 / -5

x = 5

d) 2(-x + 5) = -8(3x + 2) + 4

-2x + 10 = -24x - 16 + 4

-2x + 10 = -24x - 12

-2x + 24x = -12 - 10

22x = -22

x = -22 / 22

x = -1

f) -10 * {-2 - 2 * [(-4) * 5 / 44 - 2]} = -2x

-10 * {-2 - 2 * [-20 / 44 - 2]} = -2x

-10 * {-2 - 2 * [-0.4545 - 2]} = -2x

-10 * {-2 - 2 * [-2.4545]} = -2x

-10 * {-2 + 4.909} = -2x

-10 * {2.909} = -2x

-29.09 = -2x

x = -29.09 / -2

x = 14.545

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