4x+7/2x-3-x-3/2x+3=1

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Алгебра

Сильва

17 марта, 20:24

4x+7/2x-3-x-3/2x+3=1

+4

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Юраня · Answer 1

1) a) (1-4x) / 4 = 1; 1 - 4x = 5; 4 х = - 4; x = - 1;

6) (3x-10) / 2 = - 1; 3x - 10 = - 2; 3x = 8; x = 2 2/3;

в) (x+3) / 10 = 1/5; x + 3 = 2; x = - 1;

2) a) (8x+3) / 7 = (10x-1) / 7; 8x + 3 = 10x - 1; 2x = 4; x = 2;

6) (x+2) / 5 = (3x-5) / 4; 4 (x + 2) = 5 (3x - 5) ; 4x + 8 = 15x - 25

11x = 33; x = 3;

в) (7-x) / 6 = (19x-11) / 8; 4 (7 - x) = 3 (19x - 11) ;

28 - 4x = 57x - 33; 61x = 61; x = 1;

3) а) (5x-9) / 4 + (5x-7) / 4 = 1;

5 х - 9 + 5 х - 7 = 4;

10x = 20;

х = 2;

б) 2 х - (2x+3) / 3 = (x-6) / 3;

6x - 2 х - 3 = x - 6;

3x = - 3;

х = - 1;

в) (2-x) / 5 - x/15 = 1/3;

3 (2 - x) - x = 5;

6 - 3 х - х = 5;

4 х = 1; x = 0,25;

г) x/7 - (3x-1) / 14 = 2

2x - 3 х + 1 = 28;

x = - 27;

д) (2x-3) / 9 + (x-1) / 5 = 2;

5 (2x - 3) + 9 (x - 1) = 90;

10x - 15 + 9x - 9 = 90;

19x = 114;

x = 6;

e) (x+14) / 5 - (6x+1) / 7 = 1;

7 (x + 14) - 5 (6x + 1) = 35;

7x + 98 - 30x - 5 = 35;

23x = 58;

x = 2 12/23.

2. 1) (5x-4) / 3 + (3x-2) / 6 + (2x-1) / 2 = 3x - 2;

2 (5x - 4) + 3x - 2 + 3 (2x - 1) = 6 (3x - 2) ;

10x - 8 + 3x - 2 + 6 х - 3 = 18x - 12; х = 13 - 12 = 1;

2) (2x-3) / 5 + (x-1) / 4 + (5x+1) / 20 = 3 - x;

4 (2 х - 3) + 5 (х - 1) + 5x + 1 = 20 (3 - x) ;

8x - 12 + 5x - 5 + 5x + 1 = 60 - 20x; 38x = 76; x = 2;

3) x2 - 5x + 3 - (3x2-5x-7) / 3 = 1/3;

3 (х2 - 5 х + 3) - 3x2 + 5x + 7 = 1;

3x2 - 15x + 9 - 3 х2 + 5 х + 7 = 1;

10x = 15; x = 1,5.