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Réponse:
a)
6+5x × 5 = 3x × 5 +17
6 +25x = 15x +17
25x -15x = 17-6
10x = 11
10x/10 = 11/10
x = 11/10
6+5x × 3 = 3x × 3 +17
6+15x = 9x +17
15-9x = 17 -6
6x = 11
6x/6 = 11/6
x = 11/6
6+5x × 6 = 3x × 6 +17
6+30x = 18x +17
30x -18x = 17-6
12x = 11
12x/12 = 11/12
x = 11/12
b)
11- 5 = 2x(5+1)
6 = 10x + 2
-10x = 2-6
-10x = -4
-10x/-10 = -4/-10
x = 2/5
11- 3= 2x(3+1)
8 = 6x + 2x
8 = 8x
-8x = -8
-8x/-8 = -8/-8
x = 1
11- 6 = 2x(6+1)
5 = 12x + 2x
5 = 14x
-14x = -5
-14x/-14 = -5/-14
x = 5/14
c)
3+4x(5-1) = 5x × 5 -7
3+20x -4x = 25x -7
20x -4x -25x = -7-3
-9x = -10
-9x/-9 = -10/-9
x = 10/9
3+4x(3-1) = 5x × 3 -7
3+12x -4x = 15x -7
12x -4x -15x = -7-3
-7x = -10
-7x/-7 = -10/-7
x = 10/7
3+4x(6-1) = 5x × 6 -7
3+24x -4x = 30x -7
24x -4x -30x = -7-3
-10x = -10
-10x/-10 = -10/-10
x = 1
