Himpunan penyelesaian dari 5x + 3y = 20 3x - 5y = -4 Dengan metode eliminasi

Himpunan penyelesaian dari
5x + 3y = 20
3x – 5y = -4
Dengan metode eliminasi

Jawaban:

$5x + 3y = 20 \ 3x - 5y = - 4 \ = 25x + 15y = 100 \ 9x - 15y = - 12 \ = 34x = 88 \ = 88 div 34 = x \ x = frac{44}{17} \ y = 3 times frac{44}{17} - 5y = - 4 \ y = frac{40}{17 } \ = (x.y) = ( frac{44}{17} . frac{40}{17} ) \ = 5 times frac{44}{7} + 3 times frac{40}{17} = 20 \ 3 times frac{44}{17} - 5 times frac{40}{17} = - 4 \ = 20 \ : : : : : : 4$

HP : { 44/17, 40/17 }

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