diketahui sistem persamaan liner 2x+3y=6, x-y=-2 jika x dan y merupakan sistem persamaan tersebut nilai 2x+3yadalah

Kelas 8 Matematika
Bab SLPDV

x - y = -2
x = y - 2

2x + 3y = 6
2 (y - 2) + 3y = 6
2y - 4 + 3y = 6
5y = 6 + 4
y = 10/5
y = 2

x = y - 2
x = 2 - 2
x = 0

2x + 3y = 2 . 0 + 3 . 2
2x + 3y = 6

**pada soal, 2x + 3y = 6**

2x + 3y = 6 | ×1 |
x - y = -2 | ×2 |
----------------------
2x + 3y = 6
2x -2y = -4
---------------- -
•••• 5y = 10
••••• y = 2

x - y = -2
x - 2 = -2
x = 0

Maka,
2x + 3y
= 2 (0) + 3 (2)
= 0 + 6
= 6