1.
[tex]5x - 3y = - 2 \\ 7x + 7y = 14[/tex]
[tex]5x - 3y = - 2 \\ 7x = 14 - 7y[/tex]
[tex]5x - 3y = - 2 \\ x = 2 - y[/tex]
[tex]5(2 - y) - 3y = - 2 \\ x = 2 - y[/tex]
[tex]10 - 5y - 3y = - 2 \\ x = 2 - y[/tex]
[tex]8y = - 12 \\ x = 2 - y[/tex]
[tex]y = - 1.5 \\ x = 2 - ( - 1.5)[/tex]
[tex]y = - 1.5 \\ x = 3.5[/tex]
Układ oznaczony
2.
[tex]2x + 4y = 24 \\ x + 2y = 12[/tex]
[tex]2x + 4y = 24 \\ x = 12 - 2y[/tex]
[tex]2(12 - 2y) + 4y = 24 \\ x = 12 - 2y[/tex]
[tex]24 - 4y + 4y = 24 \\ x = 12 - 2y[/tex]
[tex] - 4y + 4y = 24 - 24 \\ x = 12 - 2y[/tex]
[tex]0 = 0 \\ x = 12 - 2y[/tex]
Układ nieoznaczony
