zad 1 a u = 4v 5u - v = 10 5 razy 4v - v = 10 20v - v = 10 19v = 10 v = 10/19 b 3r = s 3r + s = 24 s + s = 24 2s = 24 s = 24/2 = 12 zad 2 x + 3y = 3 x - y = 5 x = 3 - 3y 3 - 3y - y = 5 - 4y = 5 - 3 - 4y = 2 - y = 2/4 - y = 1/2 y = - 1/2
1.a) u = 4v/*(-5) 5u - v = 10 -5u = -20v 5u - v = 10 -5u + 20v = 0 5u - v = 10 __________ 19v = 10 /: 19 v = 10/19 1.b) 3r = s /* (-1) 3r + s = 24 -3r + s = 0 3r + s = 24 _________ 2s = 24 /:2 s = 12 2. x + 3y = 3 x - y = 5 x + 3y = 3 -y = 5 - x / : (-1) x + 3y = 3 y = -5 + x x + 3(-5 + x) = 3 y = -5 + x 4x = 18 / : 4 y = -5 + x x = 4,5 y = -5 + 4,5 y = 0,5
Zad1 . Rozwiąż układ równań. a) u = 4v 5u - v = 10 5u - 1/4u = 10 4 i 3/4u = 10 /: 4 i 3/4 u = 2 i 2/19 v = 1/4 * 2 i 2/19 v = 10/19 b) 3r = s 3r + 1/3r = 24 3r i 1/3r = 24 /: 3 i 1/3 r = 7 i 1/5 = 7,2 s = 1/3 * 7 i 1/5 s = 2 i 2/5 = 2,1 Zad 2. Rozwiąż układ równań metodą podstawiania. x + 3y = 3 x - y = 5 x + 3y + x + y = 5 + 3 2x + 4y = 8
