Question

tentukan himpunan penyelesaian

1. 10x - 24 = 7x

2. 12 - 3x = 6-5x

3. 3 (x + 7) = x + 9

4. 6x - (7x - 2) = -8​

Answer 1

Verified answer

jawaban:

1. 10x - 24 = 7x

10x - 24 = 7x

10x - 7x - 24 = 7x - 7x

3x - 24 = 0

3x - 24 + 24 = 0 + 24

3x = 24

3x/3 = 24/3

x = 8

Jadi, himpunan penyelesaian adalah {8}.

2. 12 - 3x = 6 - 5x

12 - 3x = 6 - 5x

12 - 3x + 5x = 6 - 5x + 5x

12 + 2x = 6

12 + 2x - 12 = 6 - 12

2x = -6

2x/2 = -6/2

x = -3

Jadi, himpunan penyelesaian adalah {-3}.

3. 3(x + 7) = x + 9

3(x + 7) = x + 9

3x + 21 = x + 9

3x - x + 21 = x - x + 9

2x + 21 = 9

2x + 21 - 21 = 9 - 21

2x = -12

2x/2 = -12/2

x = -6

Jadi, himpunan penyelesaian adalah {-6}.

4. 6x - (7x - 2) = -8

6x - (7x - 2) = -8

6x - 7x + 2 = -8

-1x + 2 = -8

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

-1x = -10

-1x / -1 = -10 / -1

x = 10

Jadi, himpunan penyelesaian adalah {10}.

penjelasan:

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