Hp dari 2x-3y=4 7x+2y=39 adalah x1,y2nilai x2,+y1=

Bab Persamaan Linear
Matematika SMA Kelas X

7x + 2y = 39 → dikali 3 → 21x + 6y = 117
2x - 3y = 4 → dikali 2 →      8x -  6y =    8
                                        ----------------------- +
                                                   29x = 225
                                                      x = 225/29

2x - 3y = 4
2 . 225/29 - 3y = 4
3y = 450/29 - 4
3y = 450/29 - 116/29
3y = 334/29
y = 334/116
y = 167/58

x + y = 225/29 + 167/58
x + y = 450/58 + 167/58
x + y = 617/58

Mapel : Matematika
Bab : SPLDV

Pembahasan :
2x - 3y = 4 —» 6y = 4x - 8
7x + 2y = 39 —» 6y = 117 - 21x

Samakan...
6y = 6y
4x - 8 = 117 - 21x
25x = 117 - 8
25x = 109
x = 109/25

Substitusi...
2x - 3y = 4
2(109/25) - 3y = 4
3y = 218/25 - 4
3y = 118/25
y = 118/75

Hp : {109/25 , 118/25}