Question

Tentukan penyelesaian dari sistem persamaan 2x+y=4 dan 2x-3y=12?

Answer 1

2x + y = 4
2x - 3y = 12

2x + y = 4
2x = 4 - y

2x - 3y = 12
(=) 4 - y - 3y = 12
(=) 4 - 4y = 12
(=) -4y = 8
(=) -y = 2
(=) y = -2

2x + y = 4
2x + (-2) = 4
2x = 6
x = 3

Answer 2

misal dg eliminasi dan substitusi
2x + y = 4
2x - 3y = 12
----------------- - (eliminasi x)
…..4y = -8
y = -2, substitusi pd salahsatu
2x - 2 = 4
2x = 6
x = 3
Hp = {3, -2}