Tolong gunakan caranya ya. Thanks
Matematika
michellas
Pertanyaan
Tolong gunakan caranya ya. Thanks
1 Jawaban
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1. Jawaban cupid85
a) y = 2x + 6
disubtitusi ke pers :
3x + 4y = 13
3x + 4(2x + 6) = 13
3x + 8x + 24 = 13
11x = 13 - 24
11x = - 11
x = - 1
subtitusi ke pers :
y = 2x + 6
y = 2(-1) + 6
y = - 2 + 6
y = 4
hp = { - 1, 4}
b) 6x - y = 14
- y = - 6x + 14
y = 6x - 14
subtitusi ke pers :
3x + 4y = - 2
3x + 4(6x - 14) = - 2
3x + 24x - 56 = - 2
27x = - 2 + 56
27x = 54
x = 2
disubtitusi ke pers :
y = 6x - 14
y = 6(2) - 14
y = 12 - 14
y = - 2
hp = { 2 , - 2}
c) 7x - 2y = 14
- 2y = - 7x + 14
2y = 7x - 14
disubtitusi ke pers :
3x + 4y = 10
3x + 2(2y) = 10
3x + 2(7x - 14) = 10
3x + 14x - 28 = 10
17x = 10 + 28
17x = 38
x = 38/17
disubtitusi ke pers :
2y = 7x - 14
2y = 7(38/17) - 14
2y = 266/17 - 238/17
2y = 28/17
y = 28/17 ÷ 2
y = 28/34
y = 14/17
hp = { 38/17 , 14/17}
d) y - 2x = 1
y = 2x - 1
disubtitusi ke pers
4x - 5y = 13
4x - 5(2x - 1) = 13
4x - 10x + 5 = 13
- 6x = 13 - 5
- 6x = 8
x = - 8/6
x = - 4/3
disubtitusikan ke pers
4x - 5y = 13
4(-4/3) - 5y = 13
- 16/3 - 5y = 13
- 5y = 13 + 16/3
- 5y = 39/3 + 16/3
- 5y = 55/3
y = 55/3 ÷ - 5
y = - 55/15
y = - 11/3
hp = { - 4/3 , - 11/3}