Question

Rozwiąż układ równań:

{4(2x+3)-2(4y-1)=30
{5x+1:3 - y-3:4=3

Answer 1

4(2x+3)-2(4y-1)=30
5x+1:3 - y-3:4=3 /* 12

8x + 12 - 8y + 2 = 30
4* (5x + 1) - 3 * (y - 3 ) = 36

8x - 8y = 30- 14
20x + 4 - 3y + 9 = 36

8x - 8y = 16 /*(-3)
20x - 3y = 23 /*8

-24x + 24y = - 48
160x - 24y = 184
...................dodajemy stronami
134x = 134 /: 134
x = 1
Podstawiamy x do równania
8x - 8y = 16
8 * 1 - 8y = 16
-8y = 8 /:(-1)
y = -1

Odp poszukiwane liczby to x = 1, y = -1