Penjelasan dengan langkah-langkah:

Sistem Persamaan Linear Satu Variabel

1).

2(x - 1) - 3(2 - x) = 3x - 1

2x - 2 - 6 + 3x = 3x - 1

2x + 3x - 8 = 3x - 1

5x - 8 = 3x - 1

5x - 3x = -1 + 8

2x = 7

x = 7/2 atau 3 ½

2). (3x + 1)/2 + (2x - 5)/3 = (x + 3)/6

Semua ruas dikali sama dengan (6).

(3x + 1)/2 . 6 + (2x - 5)/3 . 6 = (x + 3)/6 . 6

3(3x + 1) + 2(2x - 5) = x + 3

9x + 3 + 4x - 10 = x + 3

13x - 7 = x + 3

13x - x = 3 + 7

12x = 10

x = 10/12

x = 5(2)/6(2) = 5/6

3). (x - 1)/3 = (x + 3)/2

2(x - 1) = 3(x + 3)

2x - 2 = 3x + 9

2x - 3x = 9 + 2

-x = 11

x = -11

4). 3(x - 1) = 1

3x - 3 = 1

3x = 1 + 3

3x = 4

x = 4/3 atau 1 ⅓