himpunan penyelesaian dari 2x-5y=9danx+3y=-1

Kelas 8 Matematika
Bab SPLDV

x + 3y = -1
x = - 3y - 1

2x + 5y = 9
2 (-3y - 1) + 5y = 9
-6y - 2 + 5y = 9
-y = 9 + 2
y = -11

x = -3y - 1
x = -3 . (-11) - 1
x = 33 - 1
x = 32

HP = { (32, -11) }

≡ penyelesaian :

x + 3y = - 1
x = - 1 - 3y

⇔masukkan nilai x :

2x - 5y = 9
2( - 1 - 3y ) - 5y = 9
- 2 - 6y - 5y = 9
- 6y - 5y = 9 + 2
- 11y = 11
y = -1

⇔masukkan nilai y :

x = - 1 - 3y
x = - 1 - 3( -1 )
x = - 1 + 3
x = 2

HP : { x , y } = { 2 , - 1 }

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