Răspuns:
Explicație pas cu pas:
a) numitorul comun este 12
2(5x + 3) - 3(3x + 1) + 6(7 - x) = 4(3 - 4x)
10x + 6 - 9x - 3 + 42 - 6x = 12 - 16x
-5x + 45 = 12 - 16x
16x - 5x = 12 - 45
11x = -33
x = -33/11 = -3
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b) numitorul comun este 10
2(6x + 3) - 5(6x - 2) = 2(7x + 1) - 5(4x + 2)
12x + 6 - 30x + 10 = 14x + 2 - 20x - 10
-18x + 16 = -6x - 8
18x - 6x = 16 + 8
12x = 24
x = 24/12 = 2
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c) numitorul comun este 12
4(x + 7) - 3(5x + 2) = 4(2x + 5) - 6(x + 4)
4x + 28 - 15x - 6 = 8x + 20 - 6x - 24
22 - 11x = 2x - 4
11x + 2x = 22 + 4
13x = 26
x = 26/13 = 2
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d) numitorul comun este 12
4(x + 5) - 3(x - 3) = 2(x + 15) - 3*3
4x + 20 - 3x + 9 = 2x + 30 - 9
x + 29 = 2x + 21
2x - x = 29 - 21
x = 8
Salut! :)
a) ( 5x + 3 )/6 - ( 3x + 1 )/4 + ( 7 - x )/2 = ( 3 - 4x )/3 | × 12
10x + 6 - 9x - 3 + 42 - 6x = 12 - 16x
- 5x + 45 = 12 - 16x
- 5x + 16x = 12 - 45
11x = - 33
x = - 33 : 11
x = - 3
b) ( 6x + 3 )/5 - ( 6x - 2 )/2 = ( 7x + 1 )/5 - ( 4x + 2 )/2 | × 10
12x + 6 - 30x + 10 = 14x + 2 - 20x - 10
- 18x + 16 = - 6x - 8
- 18 + 6x = - 16 - 8
- 12x = - 24
x = - 24 : ( - 12 )
x = 2
c) ( x + 7 )/3 - ( 5x + 2 )/4 = ( 2x + 5 )/3 - ( x + 4 )/2 | × 12
4x + 28 - 15x - 6 = 8x + 20 - 6x - 24
- 11x + 22 = 2x - 4
- 11x - 2x = - 22 - 4
- 13x = - 26
x = - 26 : ( - 13 )
x = 2
d) ( x + 5 )/3 - ( x - 3 )/4 = ( x + 15 )/6 - 3/4 | × 12
4x + 20 - 3x + 9 = 2x + 30 - 9
x + 29 = 2x + 21
2x - x = 29 - 21
x = 8