How do you graph each system and determine the number of solutions of #x+y=6, x-y=4#?

1 Answer
Jun 23, 2018


There is one set of solutions.


Both equations are linear, so there is either one set of solutions, no solutions, or infinite solutions.

In order to graph the system, you can rewrite both equations to a formula form (#y=...#).


The graph of the system is equivalent to the graph of both linear formulas:
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The lines have one point of intersection, so the system has one set of solutions.