Himpunan dari 2x+3y=12 4x-7y=-2

≡ penyelesaian :

⇔gunakan metode eliminasi :
2x + 3y = 12 | ×2 |
4x - 7y = -2 | ×1 |

4x + 6y = 24
4x - 7y = -2
------------------- —
13y = 26
y = 26 / 13
y = 2

⇔kemudian, gunakan metode substitusi :
4x - 7y = -2
4x - 7(2) = -2
4x - 14 = -2
4x = -2 + 14
4x = 12
x = 12 / 4
x = 3

HP = { x ,y } = { 3 , 2 }

[tex]~[/tex]

2x  +  3y = 12     dikali 2  --------->  4x  +  6y  =  24
4x  -  7y  = -2                   --------->  4x  -  7y   =  -2
                                                      --------------------- -
                                                               13y  =  26
                                                                   y  =  26/13
                                                                       =  2
2x  +  3y    =  12
2x  +  3(2) =  12
2x  +  6      =  12
2x  =  12  -  6
2x  =  6
  x  =  6 / 2
     =  3

( 3 , 2 )