himpunan penyelesain sistem persamaan 2x+3y=6dan5x-2y+23=0

MAPEL = MATEMATIKA
KELAS = 8
BAB = SPLDV

2x + 3y = 6
5x -2y + 23 = 0 ➡ 5x - 2y = -23

eliminasi nilai y
2x + 3y = 6 |×2
5x - 2y = -23 |×3

4x + 6y = 12
15x - 6y = -69
___________+
19x = -57
x = -57/19
x = -3

subtitusi nilai x
2x + 3y = 6
2(-3) + 3y = 6
-6 + 3y = 6
3y = 6 + 6
3y = 12
y = 12/3
y = 4

hp = { -3,4 }

pembuktian :
2x + 3y = 6
2(-3) + 3(4) = 6
-6 + 12 = 6 ✔

5x - 2y = -23
5(-3) - 2(4) = -23
-15 - 8 = -23 ✔

( terbukti )




semoga membantu

2x+3y=6
5x-2y+23=0

2x+3y=6 ×2
5x-2y=-23 ×3

4x +6y=12
15x-6y=-69
_________ +
19x = 57
x = 3

2x+3y=6
2 (3)+3y=6
6+3y=6
3y=0
y=0

hp {3,0}