Question

Rozwiąż układ równań :

x/2 + y/3 = 1 i 1/3

x/2 - y/2 = 2 i 1/3

Answer 1

x/2 + y/3 = 4/3    /*6

x/2 - y/2 = 7/3     /*6

 

3x + 2y = 8        /*(-1)

3x - 3y = 14

 

-3x - 2y = -8

3x - 3y = 14

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       -5y = 6

         y = -6/5

         y = -1,2

 

3x + 2y = 8

3x + 2 * (-1,2) = 8

3x - 2,4 = 8

3x = 8 + 2,4

3x = 10,4

x = 10,4 : 3

x = 10 i 2/5 * 1/3

x = 52/5 * 1/3

x = 52/15

x = 3 i 7/15

 

x = 3 i 7/15

y = -1,2