Designed to be used as a starter to get students to understand what a system of equations IS.
Place in the Venn diagram pairs of coordinates that fit each section.
Hopefully the pupils think it takes ages by trail and improvement.
Then you say
“Well, I have a method for solving these much more easily”
You introduce the substitution or elimination method and they all look on, enraptured by the mathematical knowledge you’re imparting and the ‘short cut’ to doing these questions you’re showing them.
No answers are provided as there is a infinite set of answers either side of the intersection.
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