Question

Tentukan persamaan linear berikut dengan cara eliminasi

1. x-y=3
5x+3y=9
2. 2x-y=0
7x+2y=2

Answer 1

1) Eliminasi x
x - y = 3 | dikali 5 | 5x-5y = 15
5 + 3y = 9 | dikali 1 | 5x+3y = 9
-8y = 6
y = - 6/8
y = - 3/4
Eliminasi y
x - y = 3 | dikali 3 | 3x - 3y = 9
5 + 3y = 9 | dikali 1 | 5x +3y = 9
8x = 18
x = 18/8
x = 9/4

2) eliminasi x
2x-y = o | x7 | 14x-7y = 0
7x-2y=2 | x2 | 14x-4y=4
-3y= -4
y = 4/3
eliminasi y
2x-y= 0 | x2| 4x-2y = 0
7x+2y= 2 |x1| 7x+2y= 2
11x = 2
x = 2/11