Question

a)x-5 supra 3=-1 supra 2
b)x-5 supra 4=1 supra 8
c)4 supra 9+x=1
d)2 supra 3x=-3 supra 5
e)u*5=-40

Answer 1

a)    x - 5 / 3 = - 1 / 2

x = - 1 / 2 + 5 / 3

x = - 3 / 6 + 10 / 6

x = 7 / 6

x = 1 intreg si 1 / 6

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Daca si x este numaratorul fractie, atunci solutia este:

( x - 5 ) / 3 = - 1 / 2

2 ( x - 5 ) = - 3

2 x - 10 = - 3

2 x = - 3 + 10

x = 7 / 2 ⇒   x = 3 intregi si 1 / 2

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b)   x - 5 / 4 = 1 / 8

x = 1 / 8 + 5 / 4

x = 1 / 8 + 10 / 8

x = 11 / 8

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Daca numaratorul este x - 5, atunci solutia este:

( x - 5 ) / 4 = 1 / 8

8 ( x - 5 ) = 4

8 x - 40 = 4

8 x = 4 + 40

x = 44 / 8

x = 11 / 2

x = 5 intregi si 1 / 2

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c)    4 / 9 + x = 1

x = 1 - 4 / 9

x = 9 / 9 - 4 / 9

x = 5 / 9

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d)    2 / 3 x = - 3 / 5

- 9 x = 10

x = - 10 / 9

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e)     u × 5 = - 40

u = - 40 / 5

u = - 8