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Multiple solutions

February 13, 2017

We were looking at how to prove a point (3,5) is the intersection of two given lines y=x+2 and y=-2x+11.

Some solved the system by substitution

Some substituted x and calculated y for each line

Some made tables of values for the lines and checked if (3,5) was on both lines

Some substituted x and y and verified that the two sides remained equal

Some solved by graphing
It’s pretty awesome to have so many ways to approach a question!  Many thanks to those who explained their work today.

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