Question

1. himpunan penyelesaian dari x= 4y+3 dan y = 2x +1 adalah

2. himpunan penyelesaian dari sistem persamaan 3x + 5y= 12 dan 2x + 4y = 14 adalah

Answer 1

1.


HP = {(-1, -1)}

2.
3x + 5y = 12
2(3x + 5y) = 2(12)
6x + 10y = 24........(i)

2x+4y = 14
3(2x + 4y) = 3(14)
6x + 12y = 42..........(ii)

6x + 12y = 42
6x + 10y = 24    -
         2y = 18
           y =  9

2x + 4y = 14
2x + 4(9) = 14
2x + 36 = 14
2x = 14 - 36
2x = -22
x = -11

HP = {(-11, 9)}

Answer 2

Nomor 1
x = 4y + 3
x = 4(2x + 1) + 3
x = 8x + 4 + 3
x - 8x = 7
-7x = 7
 x = 7/-7
 x = -1

y = 2x + 1
y = 2(-1) + 1
y = -2 + 1
y = -1

HP {-1, -1}

Nomor 2
3x + 5y = 12
2(3x + 5y) = 2(12)
6x + 10y = 24 .........⇒ (i)

2x+4y = 14
3(2x + 4y) = 3(14)
6x + 12y = 42..........⇒ (ii)

6x + 12y = 42
6x + 10y = 24       
         2y = 18
           y =  9

2x + 4y = 14
2x + 4(9) = 14
2x + 36 = 14
2x = 14 - 36
2x = -22
x = -11

HP = {-11, 9}