How do you solve the system by graphing #-x+y=2#, #x+y=4#?

1 Answer
Shwetank Mauria
Mar 1, 2016

Draw graph of #−x+y=2# & #x+y=4# and point of intersection #(1,3)# will give the solution of the system of lines.

Explanation:

To solve the system by graphing #−x+y=2#, #x+y=4# one needs to draw the graphs of two lines.

To draw the graph of line #−x+y=2#, select three sets of points whose coordinates satisfy this equation. These could be #(6,8)#, #(-2,0)# and #(-10,-8)#. Joining them will give the graph of #-x+y=2#.

Similarly points for equation #x+y=4# could be #(12,-8)#, #(2,2)# and #(-6,8)# and joining them will give the graph of #x+y=4#.

Point of intersection of these lines will give the solution of the system, which should be #(1.3)#.

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