Question

Tentukan himpunan penyelesaian dari persamaan berikut ini :
1. 3x + 7 =19
penyelesaian .........
HP={....}
2. 2y - 3 =27
3. 5a - 2 = 2a + 22
4. 2(b+4) = 4b-2
5. 3(x - 2)=2(x + 3)
6. 1/2 x - 6 = x + 1

Answer 1

1. 3x + 7 = 19
   3x = 19 - 7
   3x = 12
   x = 4
   HP = {4}
2. 2y - 3 =27
   2y = 27 + 3
   2y = 30
   y = 15
   HP = {15}
3. 5a - 2 = 2a + 22
    5a - 2a = 2 + 22
    3a = 24
    a = 8
    HP = {8}
4. 2b + 8 = 4b - 2
   2b - 4b = -8 - 2
   -2b = -10
   b = 5
   HP = {5}
5. 3x - 6 = 2x + 6
   3x - 2x = 6 + 6
   x = 12
   HP = {12}
6.1/2x - 6 = x + 1
   1/2x -x = 6 - 1
   -1/2x = 5
   x = -10
   HP = {-10}

Answer 2

1. 3x+7=19 3x=19-7 3x=12 x=4 2. 2y-3=27 2y=27+3 2y=30 y=15 3. 5a-2=2a+22 5a-2a=22+2 3a=24 a=8 4. 2(b+4)=4b-2 2b+8=4b-2 2b-4b=-2-8 -2b=-10 b=5 5. 3(x-2)=2(x+3) 3x-6=2x+6 3x-2x=6+6 x=12 6. 1/2x-6=x+1 1/2x-x=1+6 -1/2x=7