tentukan himpunan penyelesaian berikut!!! 1)5g-2h=4 dan 3g=4h-6 2)2r+3s=5 dan 3r-2s=17 (1&2 guankan cara subtitusi)
Matematika
puji170
Pertanyaan
tentukan himpunan penyelesaian berikut!!!
1)5g-2h=4 dan 3g=4h-6
2)2r+3s=5 dan 3r-2s=17
(1&2 guankan cara subtitusi)
1)5g-2h=4 dan 3g=4h-6
2)2r+3s=5 dan 3r-2s=17
(1&2 guankan cara subtitusi)
1 Jawaban
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1. Jawaban cupid85
1) 5g - 2h = 4
- 2h = - 5g + 4
2h = 5g - 4
disubtitusi ke pers
3g = 4h - 6
3g = ( 2•2h ) - 6
3g = 2 ( 5g - 4) - 6
3g = 10g - 8 - 6
3g - 10g = - 14
- 7g = - 14
g = 2
disubtitusi ke pers
2h = 5g - 4
2h = 5(2) - 4
2h = 10 - 4
2h = 6
h = 3
hp = { 2 , 3 }
2) 2r + 3s = 5
2r = 5 - 3s
r = 5/2 - 3/2 s
subtitusi ke pers
3r - 2s = 17
3(5/2 - 3/2 s ) - 2s = 17
15/2 - 9/2 s - 2s = 17 ( dikali 2)
15 - 9s - 4s = 34
- 13s = 34 - 15
- 13s = 19
s = - 19/13
disubtitusi ke pers
r = 5/2 - 3/2s
r = 5/2 - 3/2(-19/13)
r = 5/2 + 57/26
r = 65/26 + 57/26
r = 122/26
r = 61/13
hp = { 61/13 , - 19/13 }