Himpunan penyelesaian dari 3x – 5y + 13 = 0 dan 4x + 3y – 2 = 0 adalah….

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Himpunan penyelesaian dari 3x – 5y + 13 = 0 dan 4x + 3y – 2 = 0 adalah….

3x – 5y + 13 = 0

•3x – 5y = -13 …… pers 1

4x + 3y – 2 = 0

•4x + 3y = 2 …… pers 2

Eleminasi pers 1 dan 2

3x – 5y = -13 |×3|

4x + 3y = 2 |×5|

9x – 15y = -39

20x + 15y = 10

———————- (+)

29x = -29

x = -1

Subtitusi x ke pers 1

3x – 5y = -13

3(-1) – 5y = -13

-3 – 5y = -13

-5y = -13 + 3

-5y = -10

y = -10/-5

y = 2

HP = {(-1, 2)}