How do you solve # x+y=8#, #y-x=8# by graphing?

1 Answer
May 4, 2018

Answer:

Answer is #(0,8), intersection of graphs
enter image source here

Explanation:

First, we make #y# the subject of the equation:

#x+y=8#
#y=-x+8#-----> by subtracting #x# both sides

#y-x=8#
#y=x+8#----> by adding #x# both sides

Now we have:
#y=-x+8# (red line graph)
#y=x+8# (blue line graph)

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
by plotting the graph, see the attached, we get intersection at #(0,8)#, hence the solution is #(0,8)#