#!/usr/bin/env python3
-from linpy import *
+# This example is inspired from a math question in the French baccalauréat 2014
+# consisting in computing the intersection of a plane with a line.
+
+from linpy import Eq, symbols
x, y, z = symbols('x y z')
-DF = Eq(x, y) & Eq(z, 6 - 2*x)
-P = Eq(x + y - 2*z, 0)
+plane = Eq(x, y) & Eq(z, 6 - 2*x)
+line = Eq(x + y - 2*z, 0)
-print('DF ∩ P =', DF & P)
+if __name__ == '__main__':
+ print('plane: ', plane)
+ print('line: ', line)
+ print('intersection:', plane & line)