Question

Tolong kak dikumpul sekarang.lengkap dengan caranya

Answer 1

Verified answer

1) 2p + 3q = 2 |×2
4p - q = 18
maka
4p + 6q = 4
4p - q = 18
-----------------(-)
7q = - 14
q = - 2
disubtitusi ke pers :
2p + 3q = 2
2p + 3(-2) = 2
2p - 6 = 2
2p = 2 + 6
2p = 8
p = 4
nilai 10p - 2q
= 10(4) - 2(-2)
= 40 + 4
= 44 ( D )

2) 2x - y = 2
x + 2y = 6 |×2
maka
2x - y = 2
2x + 4y = 12
-------------------(-)
- 5y = - 10
y = 2
disubtitusikan ke pers :
2x - y = 2
2x - 2 = 2
2x = 2 + 2
2x = 4
x = 2
hp = { 2 , 2 }

3) 2x + y = 11
x - y = - 2
--------------------(+)
3x = 9
x = 3
disubtitusi ke pers :
x - y = - 2
3 - y = - 2
- y = - 2 - 3
- y = - 5
y = 5
x = a = 3
y = b = 5
nilai a + b
= 3 + 5
= 8 ( B )

4) x + 3y = 2 |×2
2x + y = - 6
maka
2x + 6y = 4
2x + y = - 6
-----------------(-)
5y = 10
y = 2
subtitusi ke pers :
2x + y = - 6
2x + 2 = - 6
2x = - 6 - 2
2x = - 8
x = - 4
hp = { - 4 , 2 } ( D )

5) 2x - y = 11 |×4
5x - 4y = - 1
maka
8x - 4y = 44
5x - 4y = - 1
-------------------(-)
3x = 45
x = 15
disubtitusi ke pers :
2x - y = 11
2(15) - y = 11
30 - y = 11
- y = 11 - 30
- y = - 19
y = 19
hp = { 15 , 19 } ( C )