Question

How do we solve the equations `y=x+2` and `x=-3` graphically?

Answer 1

The solution is `x=-3` and `y=-1`

Explanation:

To draw the graph of `y=x+2`, select a few values of `x` which are spread out, say `{-5, -2,1,4,7}`. Putting these one by one we get corresponding values of `y` as `{-3,0,3,6,9)`

Hence set of points satisfying the equation `y=x+2` are

`(-5,-3),(-2,0),(1,3),(4,6),(7,9)` and joining these we get the graph as follows:
graph{x+2 [-10, 10, -5, 5]}
In `x=-3`, it is apparent that whatever be the value of `y`, we always have `x=-3`. Hence, graph appears as vertical line at `x=-3` and appear (as green line).

As the two lines intersect at `(-3,-1)`, the solution is

`x=-3` and `y=-1`