Question

Rozwiązania układy równań metoda podstawiania

Answer 1

2(x - y) - 3 = x
2(x - 3y) - 5 = 2x

2x - 2y - 3 = x
2x - 6y - 5 = 2x

x - 2y = 3
-6y = 5 / : (-6)

x - 2y = 3
y = -5/6

x - 2 * (-5/6) = 3
x + 5/3 = 3
x = 4/3

spr. 4/3 - 2 * (-5/6) = 3
4/3 + 10/6 = 3
4/3 + 5/3 = 3
9/3 = 3
Prawidłowo


3/7x + 8/3y = 24 / * 21
5/8x + 6/7y = 35 / * 56

9x + 56y = 504
35x + 48y = 1960 / : 35

x = 56 - 48/35y

9(56 - 48/35y) + 56y = 504
504 - 432/35y + 56y = 504
y = 0

9x = 504 / : 9
x = 56