Penjelasan dengan langkah-langkah:

Sistem Persamaan Linear Satu Variabel

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1). 6x - 12 = 3x

6x - 12 + 12 = 3x + 12

6x = 3x + 12

6x - 3x = 12

3x = 12

x = 4

2). 7x - 3 = 5x + 7

7x - 3 + 3 = 5x + 7 + 3

7x = 5x + 10

7x - 5x = 10

2x = 10

x = 5

3). 5x + 15 = -2x + 1

5x + 15 - 15 = -2x + 1 - 15

5x = -2x - 14

5x + 2x = -14

7x = -14

x = -2

4). 3 + 7x = 4x - 6

3 + 7x - 7x = 4x - 6 - 7x

3 = -3x - 6

3 + 6 = -3x

9 = -3x

x = -9/3

x = -3

5). 8 + 2x = 3x -1

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

8 = x - 1

8 + 1 = x

9 = x

6). 3x + 2 = x + 4

3x + 2 - 2 = x + 4 - 2

3x = x + 2

3x - x = 2

2x = 2

x = 1

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Pembuktian dengan cara substitusi nilai x ke persamaan yang ada!

1). nilai x = 4

6x - 12 = 3x

6x - 3x = 12

6(4)-3(4) = 12

24 - 12 = 12

12 = 12

2). nilai x = 5

7x - 3 = 5x + 7

7x - 5x = 7+3

7(5) - 5(5) = 10

35-25= 10

10 = 10

3). nilai x = -2

5x + 15 = -2x + 1

5x + 2x = 1 - 15

5(-2) + 2(-2) = -14

-10-4 = -14

-14= -14

4). nilai x = -3

3 + 7x = 4x - 6

3 + 6 = 4x - 7x

9 = 4(-3) - 7(-3)

9 = -12 + 21

9 = 9

5). nilai x = 9

8 + 2x = 3x - 1

2x - 3x = -1 - 8

2(9) - 3(9) = -9

18 - 27 = -9

-9 = -9

6). nilai x = 1

3x + 2 = x + 4

3x - x = 4-2

3(1) - 1 = 2

3 - 1 = 2

2 = 2

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