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Sagot :
Résoudre Les équations Suivantes :
A ) -3x + 5 = 35
- 3x = 35 - 5
- 3x = 30
x = - 30/3
x = - 10
B ) 2/3x + 1/8 = 9
2/3x = 9 - 1/8
16/24x = 216/24 - 3/24
16x = 213
x = 213/24
x = 8,875
C ) x/5 = 4/3
3/15x = 20/15
3x = 20
x = 20/3
D ) 2x - 1/4 = 7/5
40/20x - 5/20 = 28/20
40/20x = 28/20 + 5/20
40/20x = 33/20
40x = 33
x = 33/40
x = 0,825
E ) -3x - 7 = -x + 3
- 3x + x = 3 + 7
- 2x = 10
x = - 10/2
x = - 5
F ) 6x = 2(x+3)
6x = 2x + 6
6x - 2x = 6
4x = 6
x = 6/4
x = 3/2
x = 1,5
G ) 5x - 3/4 = x - 5/3
60/12x - 9/12 = 12/12x - 20/12
60/12x - 12/12x = - 20/12 + 9/12
48/12x = - 11/12
48x = - 11
x = - 11/48
H ) x/2 - 2/3 = 4x/3 - 1/5
15/30x - 20/30 = 40/30x - 6/30
15/30x - 40/30x = - 6/30 + 20/30
15x - 40x = - 6 + 20
- 25x = 14
x = - 14/25
x = - 0,56
I ) 3-(5-x) = 3-4x
3 - 5x + x = 3 - 4x
- 5x + x + 4x = 3 - 3
0x = 0 - Impossible
J ) 9/4 (x - 1/2) - 1/8 (x + 3) = 3 (x - 5)
9/4x - 9/8 - 1/8x - 3/8 = 3x - 15
18/8x - 9/8 - 1/8x - 3/8 = 24/8x - 120/8
18/8x - 1/8x - 24/8x = - 120/8 + 9/8 + 3/8
- 7/8x = - 108/8x
- 7x = - 108
x = 108/7
A ) -3x + 5 = 35
- 3x = 35 - 5
- 3x = 30
x = - 30/3
x = - 10
B ) 2/3x + 1/8 = 9
2/3x = 9 - 1/8
16/24x = 216/24 - 3/24
16x = 213
x = 213/24
x = 8,875
C ) x/5 = 4/3
3/15x = 20/15
3x = 20
x = 20/3
D ) 2x - 1/4 = 7/5
40/20x - 5/20 = 28/20
40/20x = 28/20 + 5/20
40/20x = 33/20
40x = 33
x = 33/40
x = 0,825
E ) -3x - 7 = -x + 3
- 3x + x = 3 + 7
- 2x = 10
x = - 10/2
x = - 5
F ) 6x = 2(x+3)
6x = 2x + 6
6x - 2x = 6
4x = 6
x = 6/4
x = 3/2
x = 1,5
G ) 5x - 3/4 = x - 5/3
60/12x - 9/12 = 12/12x - 20/12
60/12x - 12/12x = - 20/12 + 9/12
48/12x = - 11/12
48x = - 11
x = - 11/48
H ) x/2 - 2/3 = 4x/3 - 1/5
15/30x - 20/30 = 40/30x - 6/30
15/30x - 40/30x = - 6/30 + 20/30
15x - 40x = - 6 + 20
- 25x = 14
x = - 14/25
x = - 0,56
I ) 3-(5-x) = 3-4x
3 - 5x + x = 3 - 4x
- 5x + x + 4x = 3 - 3
0x = 0 - Impossible
J ) 9/4 (x - 1/2) - 1/8 (x + 3) = 3 (x - 5)
9/4x - 9/8 - 1/8x - 3/8 = 3x - 15
18/8x - 9/8 - 1/8x - 3/8 = 24/8x - 120/8
18/8x - 1/8x - 24/8x = - 120/8 + 9/8 + 3/8
- 7/8x = - 108/8x
- 7x = - 108
x = 108/7
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