Linearne jednadžbe 1
(1) Riješite sustav jednadžbi metodom supstitucije:
(a) \( \text{5}x + \text{6}y = \text{0} \) \( y = \text{-4} \)
(b) \( \text{2}x - \text{10}y = \text{3} \) \( x = \text{2} \)
(c) \( x - \text{4}y = \text{-2} \) \( x + \text{8}y = \text{1} \)
(d) \( \text{7}x + y = \text{-9} \) \( \text{10}x + y = \text{-3} \)
(2) Riješite sustav jednadžbi metodom zbrajanja:
(a) \( \text{4}x - \text{7}y = \text{8} \) \( \text{-9}x + \text{8}y = \text{4} \)
(b) \( \text{7}x - \text{14}y = \text{39} \) \( \text{5}x + \text{7}y = \text{-6} \)
(c) \( \text{7}x - \text{5}y = \text{-1} \) \( \text{6}y = \text{-18} \)
(d) \( \text{-2}x + \text{2}y = \text{2} \) \( \text{6}x = \text{14} \)
(e) \( \text{3}x + y = \text{8} \) \( \text{10}x - y = \text{1} \)
(f) \( \text{6}x - \text{3}y = \text{9} \) \( \text{8}x + \text{7}y = \text{4} \)
(g) \( \text{4}x - \text{10}y = \text{29} \) \( \text{3}x + \text{6}y = \text{17} \)
(h) \( \text{5}x + \text{6}y = \text{18} \) \( \text{13}x - \text{10}y = \text{2} \)
(3) Pomnožite jednu od jednadžbi sustava s -2 i riješite sustav metodom zbrajanja:
(a) \( \text{8}x + y = \text{-10} \) \( \text{5}x + y = \text{10} \)
(b) \( x + \text{6}y = \text{4} \) \( \text{6}x + \text{5}y = \text{8} \)
(c) \( \text{-10}x + \text{5}y = \text{7} \) \( \text{9}x + \text{4}y = \text{54} \)
(d) \( x + \text{3}y = \text{-23} \) \( \text{8}x + \text{2}y = \text{-9} \)
(4) Odredite kojim brojem je prikladno pomnožiti jednu od jednadžbi sustava i riješite sustav metodom zbrajanja:
(a) \( \text{8}x + \text{8}y = \text{23} \) \( \text{7}x - y = \text{3} \)
(b) \( \text{3}x + y = \text{5} \) \( \text{3}x - \text{4}y = \text{-16} \)
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