Question

Tentukan himpunan dari persamaan berikut
1. 17-3(x + 11) =x +12
2. 2(3x - 5)+7 =4 (1-x)+13
3. 3(m - 1 )+5 = m + 10

Answer 1

1. 17-3(x+11) = x+12
⇔ 17 -3x -33 = x+12
⇔ -3x-x = 12 - 17 + 33
⇔ -4x = 28
⇔ x = 28/-4
⇔x = -6

2.2(3x-5)+7 = 4(1-x)+13
⇔6x-10+7 = 4-4x+13
⇔6x+4x = 4 + 13 + 10 - 7
⇔10x = 20
⇔x= 20/10
⇔ x = 10

3. 3(m-1)+5 = m+10
⇔3m-3 +5 =m+10
⇔3m-m = 10 + 3 -5
⇔2m = 8
⇔m = 8/2
⇔m = 4