Question

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

Answer 1

Answer is #(0,8), intersection of graphs

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)`