tentukan penyelesaian sistem persamaan berikut dengan metode elisminasi! 1. 3x - 5y = -23 dan 4x + 2y = 4 2.4x - 5y = -12 dan 2x + 3y = 16 3.2x + 3y - 8 = 0 dan

3x - 5y = -23    x2  6x - 10y = -46
4x + 2y = 4      x5  20x - 10y= 20 -
                               -14x    =-66
                                     x    =-66/-14=33/7

1) 3x - 5y = - 23 |×4
4x + 2y = 4 |×3
maka
12x - 20y = - 92
12x + 6y = 12
-----------------------(-)
- 26y = - 104
y = 4
• 3x - 5y = - 23 |×2
4x + 2y = 4 |×5
maka
6x - 10y = - 46
20x + 10y = 20
-----------------------(+)
26x = - 26
x = - 1
hp = ( - 1 , 4 )

2) 4x - 5y = - 12
2x + 3y = 16 |×2
maka
4x - 5y = - 12
4x + 6y = 32
--------------------(-)
- 11y = - 44
y = 4
• 4x - 5y = - 12 |×3
2x + 3y = 16 |×5
maka
12x - 15y = - 36
10x + 15y = 80
-----------------------(+)
22x = 44
x = 2
hp = ( 2 , 4 )

3) 2x + 3y = 8 |×3
3x + 2y = 7 |×2
maka
6x + 9y = 24
6x + 4y = 14
------------------(-)
5y = 10
y = 2
• 2x + 3y = 8 |×2
3x + 2y = 7 |×3
maka
4x + 6y = 16
9x + 6y = 21
------------------(-)
- 5x = - 5
x = 1
hp = ( 1 , 2 )

4) 4x - 3y = 0
2x - 3y = - 6
---------------------(-)
2x = 6
x = 3
• 4x - 3y = 0
2x - 3y = - 6 |×2
maka
4x - 3y = 0
4x - 6y = - 12
-------------------(-)
3y = 12
y = 3
hp = ( 3,3 )

5) 3x - 2y = 0 |×3
- 4x + 3y = 1 |×2
maka
9x - 6y = 0
- 8x + 6y = 2
--------------------(+)
x = 2
• 3x - 2y = 0 |×4
- 4x + 3y = 1 |×3
maka
12x - 8y = 0
- 12x + 9y = 3
---------------------(+)
y = 3
hp = ( 2 , 3 )