Tentukan selesaian dari persamaan berikut. a x + 3y = 5 -x - y = -3 b 4x + 3y = -5 -x + 3y = -10 c 2x + 5y = 16 3x - 5y = -1 d 3x - 2y = 4 6x - 2y = -2

a). x + 3y = 5
=> -x - y = -3
------------------- +
=====> 2y = 2
=====> y = 2/2
=====> y = 1
x + 3y = 5
x + 3 (1) = 5
x + 3 = 5
x = 5 - 3
x = 2

b). 4x + 3y = -5
=> -x + 3y = -10
----------------------- -
==> 5x = 5
==> x = 5/5
==> x = 1
4x + 3y = -5
4 (1) + 3y = -5
4 + 3y = -5
3y = -5 - 4
3y = -9
y = -9/3
y = -3

c). 2x + 5y = 16
=> 3x - 5y = -1
---------------------- +
=> 5x = 15
==> x = 15/5
==> x = 3
2x + 5y = 16
2 (3) + 5y = 16
6 + 5y = 16
5y = 16 - 6
5y = 10
y = 10/5
y = 2

d). 3x - 2y = 4
=> 6x - 2y = -2
---------------------- +
==> 9x = 2
==> x = 2/9
3x - 2y = 4
3 (2/9) - 2y = 4
2/3 - 2y = 4
-2y = 4 - 2/3
- 2y = 12/3 - 2/3
-2y = 10/3
-y = 10/3 : 2
-y = 10/3 x 1/2
-y = 5/3
y = - 5/3

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