How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x=4# and #y=-3#?

1 Answer
smendyka
Jan 26, 2018

See a solution process below:

Explanation:

The equation #x = 4# represents a vertical line from #4# on the horizontal axis. It means, for each and every value of #y# then #x# is equal to #4#. We can graph this as:

enter image source here

The equation #y = -3# represents a horizontal line from #-3# on the vertical axis. It means, for each and every value of #x# then #y# is equal to #-3#. We can add this to the graph as:

enter image source here

We can see from the intersection of the two lines the solution is:

#(4, -3)#

Because there is at least one solution for the system of equations the system is Consistent

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