Rozwiązane

(2x-3y=1
(x+4y=2

(3x+2y=4
(x-5y=3
TE NAWWIASY SÀ RQZEM TAKI JEDEN WIELKI DAJE NAJ



Odpowiedź :

1)

[tex]\{2x-3y=1\\\{x + 4y = 2 \ \ \Rightarrow \ \ x = 2-4y\\\\2(2-4y)-3y = 1\\\\4-8y-3y=1\\\\-11y = 1-4\\\\-11y=-3 \ \ /:(-11)\\\\\underline{y = \frac{3}{11}}\\\\x = 2-4y = 2-4\cdot\frac{3}{11} = \frac{22}{11}-\frac{12}{11}\\\\\underline{x = \frac{10}{11}}\\\\\{x = \frac{10}{11}\\\{y = \frac{3}{11}[/tex]

2)

[tex]\{3x+2y=4\\\{x-5y=3 \ \ \Rightarrow \ \ x = 3+5y\\\\3(3+5y)+2y = 4\\\\9+15y+2y = 4\\\\17y = 4-9\\\\17y = -5 \ \ /:17\\\\\underline{y = -\frac{5}{17}}\\\\x = 3+5y = 3+5\cdot(-\frac{5}{17}) = \frac{51}{17}-\frac{25}{17} = \frac{26}{17}\\\\\underline{x = 1\frac{9}{17}}\\\\\{x = 1\frac{9}{17}\\\{x = -\frac{5}{17}[/tex]