Question

2x - 5y = 13

3x + 2y = 10

tentukan himpunan penyelesaiannya (dengan cara)

Answer 1

2x - 5y = 13 --> dikali 3  --> 6x - 15 y = 39
3x + 2y = 10 --> dikali 2 --> 6x + 4y = 20
eliminasi x
6x - 15 y = 39
6x + 4y = 20 -
-19y = 19
y = -1

substitusi nilai y
2x - 5y = 13
2x -5 .(-1) = 13
2x + 5 = 13
2x = 8
x = 4

HP = {4, -1}