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

1 Answer
Jun 23, 2018

Answer:

There is one set of solutions.

Explanation:

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=...#).

#x+y=6harry=-x+6#
#x-y=4harr-y=-x+4harry=x-4#

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.