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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