a.2x-y=8 3x+2y=6 Pakai Jalan Sistem Persamaan Linier 2 Variabel

Bab Persamaan Linear
Matematika SMA Kelas X

2x - y = 8
y = 2x - 8

3x + 2y = 6
3x + 2(2x - 8) = 6
3x + 4x - 16 = 6
7x = 22
x = 22/7

y = 2x - 8
y = 2 . 22/7 - 56/7
y = -12/7

HP = {(22/7, -12/7)}

Mapel : Matematika
Kelas : VIII SMP
Bab : SPLDV

Pembahasan :
2x - y = 8 —» 2y = 4x - 16
3x + 2y = 6 —» 2y = 6 - 3x

Samakan...
2y = 2y
4x - 16 = 6 - 3x
4x + 3x = 6 + 16
7x = 22
x = 22/7

Substitusi...
2x - y = 8
y = 2x - 8
y = 2(22/7) - 8
y = 44/7 - 8
y = 44/7 - 56/7
y = -12/7

Hp : {22/7 , -12/7}