1. Hp dari 7x-13=2x+17 adalah 2.hp dari 2(3-x)+8=x-1 adalah 3. Hp dari y = 3x-5 dan 2x+y=15 adalah 4. Hp dari x=5-2y dan y-2x =0 adalah 5. Hp dari x+2y=1 dan 2x

1.
7x-13=2x+17
5x=30
x=6
2.
2(3-x)+8=x-1
2(3-x)=x+7
6-2x=x+7
-3x=1
x=-1/3
3.
y=3x-5 substitusi
2x+(3x-5)=15
5x-5=15
5x=20
x=20/5
x=4
jadi y=3(4)-5=12-5=7
Hp={4,7}

1. 7x-13 = 2x+17
5x = 30
x = 6
HP = {6}

2. 2(3-x)+8 = x-1
6-2x+8 = x-1
15 = 3x
x = 5
HP = {5}

3. (y = 3x-5)
2x+y = 15
2x+3x-5 = 15
5x = 20
x = 4 → y = 3(4)-5 = 7
HP = {(4,7)}

4. (x = 5-2y)
y-2x = 0
y-2(5-2y) = 0
y-10+4y = 0
5y = 10
y = 2 → x = 5-2(2) = 1
HP = {(1,2)}

5. (x+2y = 1) → (x = 1-2y)
2x+y-3 = 0
2(1-2y)+y-3 = 0
2-4y+y-3 = 0
-3y = 1
y = -⅓ → x = 1-2(-⅓) = 5/3
HP = {(5/3,-⅓)}

6. (2x+y-3=0) → y = 3-2x
3x-4y-10 = 0
3x-4(3-2x)-10 = 0
3x-12+8x-10 = 0
11x = 22
x = 2 → y = 3-2(2) = -1
HP = {(2,-1)}

7. [2(x+1)-3y = 5] → [x = ½(3y-2)]
3x-2(y+3) = 1
3.½(3y-2)-2(y+3) = 1 (×2)
9y-6-4y-12 = 2
5y = 20
y = 4 → x = ½(3.4-2) = 5
HP = {(5,4)}

8. x+y = 1
y-x = 5