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--- lecture_2_sides [2016/01/24 16:41] – rupert
+++ lecture_2_sides [2016/01/24 16:44] (current) – rupert
@@ Line 42: / Line 42: @@
   * To find the equation of the line of intersection, we must find the points which are solutions of //both// equations at the same time.
-  * Eliminating variables, we get
+  * Eliminating variables, we get $x=-16+5z$, $y=7-2z$
-\[ x=-16+5z,\quad y=7-2z\]
+  * The line of intersection consists of the points $(-16+5z,7-2z,z)$, where $z\in\mathbb{R}$
-which tells us that for any value of $z$, the point
-\[ (-16+5z,7-2z,z)\]
-is a typical point in the line of intersection.