Question

Tentukan Hp dari sistem persamaan
1. 3x-2y=11 dan -4x-3y=-2
2. 5x-2y=21 dan -x+2y=-9
Dengan cara eliminasi

Answer 1

Verified answer

SPLDV

1][
3x - 2y = 11
-4x - 3y = -2
Pers.1 dikali 3 dan pers.2 dikali 2
9x - 6y = 33
-8x - 6y = -4
_________-
17x = 37
x = 37/17

Substitusi nilai x ke pers.1
3x - 2y = 11
111/17 - 2y = 11
-2y = 76/17
y = -38/17

HP = {(37/17, -38/17)}

2][
5x - 2y = 21
-x + 2y = -9
_________+
4x = 12
x = 3

Substitusi nilai x ke pers.2
-x + 2y = -9
-3 + 2y = 9
2y = 12
y = 6

HP = {(3, 6)}