Linearne jednadžbe 1
(1) Riješite sustav jednadžbi metodom supstitucije:
(a) \( \text{5}x + \text{2}y = \text{-5} \) \( y = \text{-5} \)
(b) \( \text{7}x - \text{3}y = \text{5} \) \( x = \text{3} \)
(c) \( x - \text{10}y = \text{-8} \) \( x + \text{10}y = \text{4} \)
(d) \( \text{10}x + y = \text{-7} \) \( \text{3}x + y = \text{-1} \)
(2) Riješite sustav jednadžbi metodom zbrajanja:
(a) \( \text{9}x - \text{9}y = \text{7} \) \( \text{-5}x + \text{10}y = \text{3} \)
(b) \( \text{15}x - \text{8}y = \text{25} \) \( \text{2}x + \text{9}y = \text{-1} \)
(c) \( \text{8}x - \text{5}y = \text{-2} \) \( \text{3}y = \text{-10} \)
(d) \( \text{-7}x + \text{10}y = \text{7} \) \( \text{3}x = \text{13} \)
(e) \( \text{6}x + y = \text{15} \) \( \text{4}x - y = \text{7} \)
(f) \( \text{3}x - \text{5}y = \text{6} \) \( \text{3}x + \text{7}y = \text{3} \)
(g) \( \text{7}x - \text{10}y = \text{21} \) \( \text{10}x + \text{6}y = \text{21} \)
(h) \( \text{9}x + \text{4}y = \text{18} \) \( \text{7}x - \text{4}y = \text{5} \)
(3) Pomnožite jednu od jednadžbi sustava s -7 i riješite sustav metodom zbrajanja:
(a) \( \text{5}x + y = \text{-13} \) \( \text{9}x + y = \text{4} \)
(b) \( x + \text{3}y = \text{2} \) \( \text{10}x + \text{4}y = \text{3} \)
(c) \( \text{-4}x + \text{9}y = \text{8} \) \( \text{7}x + \text{7}y = \text{73} \)
(d) \( x + \text{10}y = \text{-27} \) \( \text{2}x + \text{10}y = \text{-9} \)
(4) Odredite kojim brojem je prikladno pomnožiti jednu od jednadžbi sustava i riješite sustav metodom zbrajanja:
(a) \( \text{4}x + \text{3}y = \text{13} \) \( \text{6}x - y = \text{1} \)
(b) \( \text{3}x + y = \text{2} \) \( \text{5}x - \text{3}y = \text{-15} \)