How do you write a system of equations with one solution, a system of equations with no solution and a system of equations with infinitely many solutions?
1 Answer
Mar 28, 2015
Answer for linear systems assuming the student knows about lines, graphing lines and slopes:
(i) For one solution: use two lines that have different slopes.
(ii) For no solutions: use two lines that have the same slope, but different
(iii) For infinitely many solutions use two different (looking) equations for the same line:
(i):
or
(ii)
(iii) It's a bit pointless to write these in slope-intercept form:
So a system is:
The above is a bit obvious, so I would use:
