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

1 Answer
Shwetank Mauria
Mar 14, 2017

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).
enter image source here
As the two lines intersect at #(-3,-1)#, the solution is

#x=-3# and #y=-1#

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