diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index ffafb25..97084c8 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -12,8 +12,8 @@ "checkpointList": [ { "path": "/", - "date": "2022-04-20", - "size": 825890 + "date": "2022-04-21", + "size": 826495 } ], "activityHistory": [ @@ -587,6 +587,10 @@ { "date": "2022-04-20", "value": 1592 + }, + { + "date": "2022-04-21", + "value": 605 } ] } diff --git a/notes/mat/Rovnice/Soustavy rovnic.md b/notes/mat/Rovnice/Soustavy rovnic.md index 24f768b..8a61439 100644 --- a/notes/mat/Rovnice/Soustavy rovnic.md +++ b/notes/mat/Rovnice/Soustavy rovnic.md @@ -285,3 +285,93 @@ $4x-2x=28$ $2x=28$ $x=14$ - králíčci $(30-x)=16$ - kuřátka + +--- + +$x+y=12$ +$x+z=19$ +$y+z=17$ + +$x+y=12$ +$x+z=19$ +$y-z=-7$ + +$y+z=17$ +$-y+z=7$ + +$2z=24$ +$z=12$ + +$y+z=17$ +$y+12=17$ +$y=5$ + +$x+y=12$ +$x+5=12$ +$x=7$ + +--- + +$2x+3y=29$ +$3x+4z=44$ +$2y+3z=38$ + +$6x+9y=87$ +$6x+8z=88$ +$9y-8z=-1$ + +$18y-16z=-2$ +$18y+27z=342$ + +$z=344/43=8$ + +--- + +$4x+2y+z=24$ +$y-2x=-6$ +$z+3x=11$ + +$3y-6x=-18$ +$2z+6x=22$ + +--- + +$x+2y-z=6$ +$2x+4y-2z=12$ +$-7x-14y+7z=-42$ + +$-z=6-2y-x$ +$z=x+2y-6$ + + +$K=\{[x;y;z]: [x;y;x+2y-6]\}; x;y\in\mathbb{R}\}$ + +--- + +$2x-y+z=3$ +$3x+y-2z=-1$ +$x-3y+4z=7$ + +$2x-y+z=3$ +$3x+y-2z=-1$ +$5x-z=2$ + +$6x+2y-4z=-2$ +$x-3y+4z=7$ +$7x-y=5$ + +$35x-7z=14$ +$35x-5y=25$ +$2y=11$ +$y=10.5$ + +--- + +$2x+y-3z=6$ +$x-y+7z=11$ +$8x+y+5z=50$ + +$2x+y-3z=6$ +$x-y+7z=11$ +$3x+4z=17$ +