Tentukan himpunan penyelesaian dari sistem linear x - y = 2 x + y =1

[tex]x - y = 2 \\ x + y = 1[/tex]
________-
[tex] - 2y = 1 \\ y = - \frac{1}{2} \\ y = -0,5[/tex]

[tex]x + y = 1 \\ x + - \frac{1}{2} = 1 \\ x - \frac{1}{2} = 1 \\ x = 1 + \frac{1}{2} \\ x = \frac{2}{2} + \frac{1}{2} \\ x = \frac{3}{2} \\ x = 1.5[/tex]

Himpunan Penyelesaian :
Hp = {1,5 ; -0,5}

x-y = 2
x+y= 1

<=> x=y+2
<=> x+y = 1
(y+2)+y = 1
2y+2 = 1
y= -1/2. => x= y+2
= -1/2+2
= 3/2
Hp = {3/2,-1/2}