vault backup: 2022-05-09 13:21:20

notes/.obsidian/plugins/obsidian-activity-history/data.json

@@ -13,7 +13,7 @@
     {
       "path": "/",
       "date": "2022-05-09",
-      "size": 835273
+      "size": 835613
     }
   ],
   "activityHistory": [
@@ -642,7 +642,7 @@
         },
         {
           "date": "2022-05-09",
-          "value": 655
+          "value": 995
         }
       ]
     }

notes/mat/Rovnice/Soustavy rovnic.md

@@ -102,12 +102,32 @@ $9y=3y-17$
 $6y=-17$
 $y=-\frac{17}6$
 
+nevýchází dobře
 
 ## D
 
 $\frac3{x+1}+\frac2{y-2}=-1$
 $\frac1{x+1}+\frac1{y-2}=-\frac23$
 
+$3(y-2) + 2(x+1) = -1(x+1)(y-2)$
+$3y-6+x+2=-1(xy-2x+1y-2)$
+$3y+x-4=-xy+2x-1y+2$
+$4y-x+xy=6$
+
+$y-2+x+1=-\frac23(x+1)(y-2)$
+$x+y-1=-\frac23(xy-2x+y-2)$
+$x+y-1=-\frac23xy + \frac232x-\frac23y+\frac232$
+$x+y-1=\frac{-2xy +4x-2y+4}3$
+
+$3t+2y=-1$
+$t+y=-\frac23$
+$(t;u)=(\frac13;-1)$
+$\frac1{x+1}=\frac13$
+$\frac1{y-2}=-1$
+$x_1=2$
+$y_1=1$
+$K=\{(2;1)\}$
+
 ---
 
 $x^2+y^2=10$